New trends in complex analysis and potential theory
Research project INTAS 99-00089 funded by 
INTAS-International Association for the promotion of co-operation with scientists from the New Independent States of the former Soviet Union
SCIENTIFIC WORKING GROUPS
 

Geometric function theory
Co-ordinator:  P. Tamrazov (Kiev), email: ptamraz@capt.kiev.ua

Cumulative list of references:

  1. Adams, D. R. and Hurri-Syrjänen, R., Capacity estimates, Proc. Amer. Math. Soc. 131 (2003), 1159-1167.
  2. Adams, D. R. and Hurri-Syrjänen, R., Vanishing exponential integrability for functions whose gradient belongs to Ln(log([e]+L))a, J. Funct. Anal. 197 (2003), 163-178.
  3. Alestalo, P., Trotsenko, D. and Väisälä, J., Isometric approximation, Israel J. Math. 125 (2001), 61-82.
  4. Alzer, H. and Ruscheweyh, St., The arithmetic mean - geometric mean inequality for complex numbers, Analysis 22 (2002), 277-283.
  5. Alzer, H. and Ruscheweyh, St., A subadditive property of the Gamma function, submitted.
  6. Anderson, G. D., Vamanamurthy, M. K. and Vuorinen M., Topics in special functions, Rep. Univ. Jyväskylä Dep. Math. Stat. 83 (2001), 5-26.
  7. Bakhtin, A. K., On classes of functions without common values, Preprint 02.6 of Inst. Math. Nat. Acad. Sci. Ukraine (2002), 3-9. (Russian)
  8. Bakhtin, A. K. and Targonskii, A. L., Some extremal problems of the conformal mapping theory, Preprint 02.6 of Inst. Math. Nat. Acad. Sci. Ukraine (2002), 10-15. (Russian)
  9. Balogh, Z. M. and Koskela, P., Quasiconformality, quasisymmetry, and removability in Loewner spaces: with an appendix by Jussi Väisälä. Duke Math. J. 101 (2000), 555-577.
  10. Barsegian, G., Gamma-lines: on the geometry of real and complex functions, Taylor & Francis, London, 2002, 176 p.
  11. Bishop, Ch., Gutlyanskii, V. Ya., Martio, O. and Vuorinen, M.,  On conformal dilatation in space, Int. J. Math. Math. Sci. (to appear).
  12. Chyzhykov, I. E., Closeness of a-points property and structure of Riemannian surfaces from Fq class, Mat. Fiz. Anal. Geom. 8 (2001), 140-154. (Russian)
  13. Edmunds, D. E. and Hurri-Syrjänen, R.,  Sobolev inequalities of exponential type, Israel J. Math. 123 (2001), 61-92.
  14. Edmunds, D. E. and Hurri-Syrjänen, R., Necessary conditions for Poincaré domains, Rep. Univ. Jyväskylä Dep. Math. Stat. 83 (2001), 63-72.
  15. Franke, D., Martio, O., Miklyukov, V. M., Vuorinen, M. and Wisk, R., Quasiregular mappings and WT-classes of differential forms on Riemannian manifolds, Pacific J. Math. 202 (2002), 73-92.
  16. Genthner, C., Ruscheweyh, St. and Salinas, L., A criterion for the simplicity of plane curves, Comput. Methods Funct. Theory 2 (2002), 281-291.
  17. Greiner, R. and Roth, O., A coefficient problem for univalent functions related to two-point distortion theorems, Rocky Mountain J. Math. 31 (2001), 261-283.
  18. Greiner, R. and Roth, O., On support points of univalent functions and a disproof of a conjecture of Bombieri, Proc. Amer. Math. Soc. 129 (2001), 3657-3664.
  19. Greiner, R. and Roth, O., On the radius of convexity of linear combinations of univalent functions and their derivatives, Math. Nachr. (to appear).
  20. Greiner, R. and Roth, O., On sections of univalent functions - variations on a theorem of Szegö, in preparation.
  21. Gutlyanskii, V. Ya. and Martio, O., Rotation estimates and spirals, Conform. Geom. Dyn. 5 (2001), 6-20.
  22. Gutlyanskii, V. Ya. and Martio, O., Conformality of a quasiconformal mapping at a point, Reports of the Department of Mathematics, University of Helsinki 309 (2001).
  23. Gutlyanskii, V. and Martio, O., On regularity of quasiconformal curves, Reports of the Department of Mathematics, University of Helsinki 336 (2002).
  24. Gutlyanskii, V. Ya., Martio, O., Ryazanov, V. I. and Vuorinen, M., Infinitesimal geometry of quasiregular mappings, Ann. Acad. Sci. Fenn. Math. 25 (2000), 101-130.
  25. Gutlyanskii, V., Martio, O., Sugawa, T. and Vuorinen, M., On the degenerate Beltrami equation, Reports of the Department of Mathematics, University of Helsinki 282 (2001).
  26. Gutlyanskii, V., Martio, O. and Vuorinen, M., On conformal differentiation in space, Reports of the Department of Mathematics, University of Helsinki 278 (2001), 1-19.
  27. Gutlyanskii, V., Martio, O. and Vuorinen, M., On Hölder continuity of quasiconformal maps with VMO dilatation, Complex Variables Theory Appl. 47 (2002), 495-505.
  28. Hag, K., Hag, P. and Martio, O., Quasisimilarities: definitions, stability and extension, Rev. Roumaine Math. Pures Appl. 45 (2000), 455-486.
  29. Hästö, P., The Apollonian metric and bilipschitz mappings, Reports of the Department of Mathematics, University of Helsinki 341 (2003).
  30. Kallunki, S. and Martio, O., ACL homeomorphisms and linear dilatation, Proc. Amer. Math. Soc. 130 (2002), 1073-1078.
  31. Kamyshova, G. N., Some estimates for Robin's capacity, Uch. Zap. Saratov Univ. Ser. Math. Mech. 3 (2001), 61-63. (Russian)
  32. Kamyshova, G. N., Some estimates for generalized conformal invariants, Proc. Young Scientists Moscow State Univ. (2002), 75-78. (Russian)
  33. Kamyshova, G., Estimates of the Robin function for certain domain classes, Proc. Young Scientists Moscow State Univ. (to appear).
  34. Kayumov, I. and Ruscheweyh, St., On the arc conjecture for maximal polynomial ranges, in preparation.
  35. Kilpeläinen, T., Kinnunen, J. and Martio, O., Sobolev spaces with zero boundary values on metric spaces, Potential Anal. 12 (2000), 233-247.
  36. Kinnunen, J. and Lewis, J. L., Higher integrability for parabolic systems of p-Laplacian type, Duke Math. J. 102 (2000), 253-271.
  37. Kinnunen, J. and Martio, O., Choquet property for the Sobolev capacity in metric spaces, Proceedings on analysis and geometry, Sobolev Institute Press, Novosibirsk, 2000, pp. 285-290.
  38. Kinnunen, J. and Martio, O., Maximal operator and superharmonicity, Proceedings of function spaces, differential operators and nonlinear analysis (Pudasjärvi, 1999), Acad. Sci. Czech Repub., Prague, 2000, pp. 157-169.
  39. Kinnunen, J. and Shanmugalingam, N.,  Regularity of quasi-minimizers on metric spaces,  Manuscripta Math. 105 (2001), 401-423.
  40. Li Gongbao and Martio, O., Stability of harmonic measures, Complex Variables 41 (2000), 345-358.
  41. Li Gongbao and Martio, O., Stability and higher integrability of derivatives of solutions in double obstacle problems, J. Math. Anal. Appl. 272 (2002), 19-29.
  42. Li Gongbao and Martio, O., Approximation and stability of Perron solutions in nonlinear potential theory, Reports of the Department of Mathematics, University of Helsinki 279 (2001).
  43. Martio, O., Modern tools in the theory of quasiconformsl mappings, Textos de Matematica Ser. B No. 27, Univ. Coimbra, 2002, 43 pp.
  44. Martio, O. and Miklyunov, V., On the existence and uniqueness of degenerate Beltrami equation, Reports of the Department of Mathematics, University of Helsinki 347 (2003).
  45. Martio, O., Miklyunov, V., Ponnusamy, S. and Vuorinen, M., On some properties of quasiplanes, Result. Math. 42 (2002), 107-113.
  46. Martio, O., Miklyukov, V. M. and Vuorinen, M., Harnack's inequality for p-harmonic functions on Riemannian manifolds for different exhaustions, A collection of papers dedicated to the memory of B. V. Shabat (ed. E. M. Zirka), Publ. House Fazis, Moscow, 2001, pp. 201-230.
  47. Martio, O., Miklyukov, V. M. and Vuorinen, M. Estimates for the energy integral of quasiregular mappings on Riemannian manifilds and isoperimetry, Czechoslovak Math. J. 51(126) (2001), 585-608.
  48. Martio, O., Miklyunov, V. and Vuorinen, M., Functions monotone close to boundary, Reports of the Department of Mathematics, University of Helsinki 330 (2002).
  49. Martio, O., Miklyunov, V. and Vuorinen, M., Some remarks on the existence problem for degenerate elliptic systems, Reports of the Department of Mathematics, University of Helsinki 329 (2002).
  50. Martio, O. and Ryazanov, V., Factors of Euclidean spaces and generalized manifolds, Reports of the Department of Mathematics, University of Helsinki 257 (2000).
  51. Martio, O. and Ryazanov, V., The Chernavskii theorem and quasiregular mappings, Siberian Adv. Math. 10 (2000), 1-19.
  52. Martio, O. and Ryazanov, V., Suspension of generalized spheres and the triangulation theory, Siberian Adv. Math. 12 (2002), 41-61.
  53. Martio, O. and Ryazanov, V., Generalized homotopy spaces, Siberian Adv. Math. 13 (2003), 1-15.
  54. Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., On the theory of Q(x)-homeomorphisms, Dokl. Akad. Nauk 381 (2001), 20-22.
  55. Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., BMO-quasiconformal mappings and Q-homeomorphism in Rn, Reports of the Department of Mathematics, University of Helsinki 288 (2001).
  56. Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., On Boundary behavior of Q-homeomorphisms, Reports of the Department of Mathematics, University of Helsinki 318 (2002).
  57. Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., Mappings of finite length distortion, Reports of the Department of Mathematics, University of Helsinki 322 (2002).
  58. Martio, O., Vuorinen, M. and Miklyunov, V. M., On the geometric structure of quasiplanes, Proc. Fac. Math. Anal. Function Theory Volgograd State Univ., 2002, 21-31. (Russian)
  59. Michalska, M., Prokhorov, D. V. and Szynal, J., The compositions of hyperbolic triangle mappings, Complex Variables 43 (2000), 179-186.
  60. Momot, I.. A Klee theorem for linearly convex sets, Ukrain. Mat. Zh. 54 (2002), 1710-1713. (Russian)
  61. Momot, I., A geometric form of the Hahn-Banach theorem for a generalized convexity, Ukrain. Mat. Zh. 55 (2003), 284-287. (Russian)
  62. Okhrimenko, S., Pairwise products of moduli of families of curves in multiply connected domains on a Riemannian Mobius strip, Bull. Soc. Sci. Lett. Łód\´z 50 (2000), 31-38.
  63. Okhrimenko, S., Some modulus problems in multiply connected domains on a Riemannian Mobius strip, Theory of approximation and its applications, Kiev, 2000, pp. 366-373. (Russian)
  64. Okhrimenko, S., Moduli of some nonorientable Riemannian manifolds, Preprint 02.3 of Inst. Math. Nat. Acad. Sci. Ukraine (2002).
  65. Osiptsev, M., Estimates of certain functionals for convex harmonic mappings with quadratic dilatation, submitted.
  66. Plaksa, S., On integral expression of axisymmetric potential and the Stokes flow function in domains of the meridional plane, I, Ukrain. Mat. Zh. 53 (2001), 631-646. (Russian)
  67. Plaksa, S., On integral expression of axisymmetric potential and the Stokes flow function in domains of the meridional plane, II, Ukrain. Mat. Zh. 53 (2001), 800-809. (Russian)
  68. Plaksa, S. and Mel'nichenko, I., Application of analytic functions to problems about a streamline of the ideal fluid along axisymmetric bodies, Ukrain. Acad. Sci. Dop. Math. (to appear). (Russian)
  69. Prokhorov, D. V., Bounded univalent functions, Handbook of complex analysis, Vol. 1: Geometric function theory (ed. R. Kühnau), Elsevier Science, 2002, pp. 207-228.
  70. Prokhorov, D. V. and Roth, O., On the local extremum property of the Koebe function, Math. Proc. Cambr. Phil. Soc. (to appear).
  71. Prokhorov, D. V. and Szynal, J., Directional convexity of level lines functions convex in a given direction, Proc. Amer. Math. Soc. 131 (2003), 1453-1457.
  72. Prokhorov, D. and Vasil'ev, A., Convex dynamics in Hele-Shaw cells, Int. J. Math. Math. Sci. 31 (2002), 639-650.
  73. Rønning, F., Ruscheweyh, St. and Samaris, N., Sharp starlikeness conditions for analytic functions with bounded derivative, J. Austral. Math. Soc. Ser. A 69 (2000), 303-315.
  74. Roth, O., A distortion theorem for bounded univalent functions, Ann. Acad. Sci. Fenn. Math. 27 (2002), 257-272.
  75. Roth, O., On a two -point distortion theorem for conformal maps, submitted.
  76. Roth, O., Some remarks on Bloch functions and the Schwarzian derivative, in preparation.
  77. Roth, O., A non-linear extremum problem for Bloch functions with applications to geometric function theory, submitted.
  78. Roth, O. and Wirths, K. J., Taylor coefficients of negative powers of schlicht functions, Comput. Methods Funct. Theory 1 (2001), 521-533.
  79. Ruscheweyh, St., Sharp starlikeness conditions for analytic and meromorphic functions, Mathematica (Cluj) (to appear).
  80. Ruscheweyh, St. and Salinas, L., On convex univalent functions with convex univalent derivatives, Rocky Mountain J. Math (to appear).
  81. Ruscheweyh, St. and Salinas, L., On starlike functions of order l Î [1/2,1), Ann. Univ. Mariae Curie-Skłodowska Sect. A 54 (2000), 117-123.
  82. Ruscheweyh, St. and Salinas, L., Stable functions and Vietoris' theorem, submitted.
  83. Ruscheweyh, St. and Salinas, L., On the DCP property of exponential partial sums, submitted.
  84. Ruscheweyh, St. and Suffridge, T., A continuous extension of the de la Vallée-Poussin means, J. Analyse Math (to appear).
  85. Ryazanov, V. I., Vuorinen, M. On Belinskii conformality in countable sets of points, Proc. Amer. Math. Soc. 129 (2001), 3049-3056.
  86. Sarana, A., Some contour-solid theorems of finely meromorphic functions, Ukrainian Math. J. 54 (2002), 1680-1687.
  87. Solynin, A. Yu., Vuorinen, M., Estimates for the hyperbolic metric of the punctured plane and applications, Israel J. Math. 124 (2001), 29-60.
  88. Tamrazov, P., Finely holomorphic and finely hypoharmonic functions in contour-solid problems, Ann. Acad. Sci. Fenn. Math. 26 (2001), 325-360.
  89. Tamrazov, P. and Aliyev, T., Contour-solid theorems for meromorphic functions taking multivalence into account, Proc. 3rd ISAAC Conference (to appear).
  90. Terekhin, P. A., Representation properties of systems of translates and dilates of functions, Ph.D. thesis, Saratov Univ., 2000. (Russian)
  91. Terekhin, P. A., The Bernstein inequality for analytic vectors of exponential type, Uch. Zap. Saratov Univ. Ser. Math. Mech. 3 (2001), 127-130. (Russian)
  92. Vuorinen, M., Quasi-regular mappings, Encyclopaedia of Mathematics, Suppl. 3, Kluwer, Dordrecht, 2001, pp. 320-321.
  93. Vuorinen, M., Zoric theorem, Encyclopaedia of Mathematics, Suppl. 3, Kluwer, Dordrecht, 2001, p. 465.
  94. Vuorinen, M., Special functions and conformal invariants, Analysis and its applications (Chennai, 2000), Allied Publ., New Delhi, 2001, pp. 255-268.
  95. Vuorinen, M., Gutlyanskii, V. Ya. and Martio, O., On the weak Lipschitz condition for quasiconformal mappings, Dokl. Acad. Nauk. 373 (2000), 7-9.
  96. Väisälä, J., Unions of John domains, Proc. Amer. Math. Soc. 128 (2000), 1135-1140.
  97. Väisälä, J., A survey of nearisometries, Rep. Univ. Jyväskylä Dep. Math. Stat. 83 (2001), 305-315.
  98. Väisälä, J., Isometric approximation property in Euclidean spaces, Israel J. Math. 128 (2002), 1-27.
  99. Väisälä, J., Locally bilipschitz maps of roughly dense sets, Analysis 22 (2002), 367-380.
  100. Zelinskii, Yu. and Momot, I., On (n,m)-convex sets, Ukrain. Mat. Zh. 53 (2001), 422-427. (Russian)

Potential theory
Co-ordinator:  O. Martio (Helsinki), email: olli.martio@helsinki.fi

Cumulative list of references:

  1. Agranovich, P., Polynomial asymptotic representation of subharmonic functions in a half-plane, Math. Phys. Anal. Geom. 3 (2000), 117-138.
  2. Agranovich, P., Solution of the homogeneous boundary problem with n-term boundary conditions, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 4-12.
  3. Agranovich, P., Approximation of subharmonic functions, and related problems of polynomial asymptotics, Mat. Fiz. Anal. Geom. 7 (2000), 255-265. (Russian)
  4. Agranovich, P., Existence of a holomorphic function with given indicator in the described variable, Math. Fiz. Anal. Geom. 8 (2001), 351-365.
  5. Aytuna, A., Rashkovskii, A. and Zahariuta, V., Widths asymptotics for a pair of Reinhardt domains, submitted.
  6. Chyzhykov, I. E., An addition to cos pr -theorem for subharmonic and entire functions of zero lower order, Proc. Amer. Math. Soc. 130 (2002), 517-528.
  7. Ekonen, M., Generalizations of the Beckenbach-Radó theorem, Ann. Acad. Sci. Fenn. Math. Diss. 128 (2002).
  8. Gerus,O. and Shapiro, M., On the boundary values of a quaternion generalization of the Cauchy-type integral in R2 for rectifiable curves, in preparation.
  9. Gerus,O. and Shapiro, M., On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in R2, ArXiv: math.CV/0302176, 17 p.
  10. Gerus,O., Shneider, B. and Shapiro, M., On boundary properties of a-hyperholomorphic functions in domains of R2 with the piece-wise Liapunov boundary, submitted.
  11. Grishin, A. and Makarenko, S., About a theorem of Yulmukhamedov, Math. Notes 67 (2000), 859-862.
  12. Grishin, A. and Malyutina, T., Density functions, Mat. Fiz. Anal. Geom. 7 (2000), 387-414. (Russian)
  13. Grishin, A. and Malyutina, T., General properties of subharmonic functions of finite order in a complex half-plane, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 20-44.
  14. Grishin, A. and Malyutina, T., Subharmonic functions satisfying the local Levin's condition, Israel Math. Conf. Proc. (to appear).
  15. Kamyshova, G. N., Symmetrization properties of Robin's modulus, Trudy Math. centra N. I. Lobachevskogo (Kazan) 5 (2000), 98-99.
  16. Kamyshova, G. N., On properties of some generalized conformal invariants, Uch. Zap. Saratov Univ. Ser. Math. Mech. (2000), 50-54. (Russian)
  17. Kamyshova, G. N., On the symmetrization properties of Robin invariants, Izv. Russ. Acad. Nat. Sci. Ser. Math. Mech. Contr. 5 (2002), 75-78. (Russian)
  18. Kamyshova, G., Estimates of the Robin function for certain domain classes, Proc. Young Scientists Moscow State Univ. (to appear).
  19. Kinnunen, J. and Latvala, V., Lebesgue points for Sobolev functions on metric spaces, Rev. Mat. Iberoamericana 18 (2002), 685-700.
  20. Kinnunen, J. and Martio, O., Nonlinear potential theory on metric spaces, Illinois J. Math. 46 (2002), 857-883.
  21. Kinnunen, J. and Martio, O., Sobolev space properties of superharmonic functions on metric spaces, Reports of the Department of Mathematics, University of Helsinki 333 (2002).
  22. Kinnunen, J. and Martio, O., Potential theory of quasiminimizers, Reports of the Department of Mathematics, University of Helsinki 344 (2003).
  23. Kondratyuk, A. A. and Tarasyuk, S. I., Generalized Lindelöf-Brelot conditions of l-type finitude of subharmonic function, Actual problems of mathematic analysis, Rostov-Don, 2000, pp. 81-85. (Russian)
  24. Kondratyuk, A. A. and Vasyl’kiv, Ya. V., Conjugate of subharmonic function, Mat. Stud. 13 (2000), 173-180.
  25. Kondratyuk, A. A. and Vasyl’kiv, Ya. V., Generalized Lindelöf conditions of finite l-type of subharmonic function, Ukrainian Math. J. 54 (2002), 276-279. (Ukrainian)
  26. Koskenoja, M., Pluripotential theory and capacity inequalities, Ann. Acad. Sci. Fenn. Math. Diss. 127 (2002).
  27. Latvala, V., A theorem on fine connectedness, Potential Analysis 12 (2000), 221-232.
  28. Latvala, V., Continuity of weak solutions of elliptic partial differential equations, Ark. Mat (to appear).
  29. Latvala, V., On Lebesgue points of functions in the Sobolev class W1,n, Ann. Acad. Sci. Fenn. Math. 27 (2002), 205-213.
  30. Latvala, V. A strong Lebesque point property for Sobolev functions, Proc. Amer. Math. Soc. (to appear).
  31. Li Gongbao and Martio, O., Uniqueness of solutions with very weak boundary values, Nonlinear Analysis 51 (2002), 693-701.
  32. Martio, O., Vuorinen, M. and Miklyukov, V. M., Generalized Wiman and Arima theorems for n-subharmonic functions on cones, Reports of the Department of Mathematics, University of Helsinki 315 (2002).
  33. Nazarova, N., On the generalization of Benedick's inequality, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 141-146.
  34. Plaksa, S., Dirichlet problems for axisymmetric potential fields in the disk of the meridional plane, I, Ukrain. Mat. Zh. 52 (2000), 492-511; II, Ukrain. Math. Zh. 52 (2000), 748-757. (Russian)
  35. Plaksa, S., On integral expression of axisymmetric potential and the Stokes flow function in domains of the meridional plane, I, Ukrain. Mat. Zh. 53 (2001), 631-646. (Russian)
  36. Plaksa, S., On integral expression of axisymmetric potential and the Stokes flow function in domains of the meridional plane, II, Ukrain. Mat. Zh. 53 (2001), 800-809. (Russian)
  37. Plaksa, S., Dirichlet problem for axially-symmetric potential in a simply connected domain of the meridional plane, Ukrainian Math. J. 53 (2001), 1623-1640. (Russian)
  38. Plaksa, S., On the outer Dirichlet problem solving for axisymmetric potential, Ukrain. Mat. Zh. 54 (2002), 1634-1641. (Russian)
  39. Plaksa, S., Dirichlet problem for the Stokes flow function in a simply connected domain of the meridional plane, Ukrain. Mat. Zh. 55 (2003), 197-231. (Russian)
  40. Plaksa, S., Dirichlet boundary problems for axisymmetric potential fields, Proc. 3rd ISAAC Conference (to appear).
  41. Plaksa, S., Singular and Fredholm integral equations for Dirichlet boundary problems for axisymmetric potential fields, submitted.
  42. Plaksa, S., Semi-Noetherian operators in incomplete spaces and singular integral equations, Ukrainian Acad. Sci. Dop. Math. (to appear). (Russian)
  43. Plaksa, S., Singular integral operators in spaces of oscillating functions on a rectifiable curve, Ukrain. Mat. Zh. (to appear).
  44. Plaksa, S. and Mel'nichenko, I., Application of analytic functions to problems about a streamline of the ideal fluid along axisymmetric bodies, Ukrain. Acad. Sci. Dop. Math. (to appear). (Russian)
  45. Plaksa, S. and Mel'nichenko, I., Outer boundary problems for the Stokes flow function and steady streamline along axisymmetric bodies, submitted.
  46. Pokrovskii,A., On removable singularities for solutions of homogenous elliptic equations in Nikol'skii-Besov classes, Dokl. Akad. Nauk. 380 (2001), 168-171. (Russian)
  47. Pokrovskii, A. and Dolzenko, E., On nonisolated singular points of solutions to linear elliptic equations with constant coefficients, Proc. Steklov Inst. Math. 236 (2002), 143-147.
  48. Rashkovskii, A., Zeros of holomorphic almost periodic mappings with independent components, Complex Variables Theory Appl. (to appear).
  49. Rashkovskii, A., Newton numbers and residual measures for plurisubharmonic functions, Ann. Polon. Math. (to appear).
  50. Rashkovskii, A., Plurisubharmonic functions with multicircled singularities, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 162-169.
  51. Rashkovskii, A., Indicators for plurisubharmonic functions of logarithmic growth, Indiana Univ. Math. J. (to appear).
  52. Rashkovskii, A., Lelong numbers with respect to regular plurisubharmonic weights, Results Math. (to appear).
  53. Rashkovskii, A., Total masses of mixed Monge-Ampere currents, submitted.
  54. Sarana, A., Some contour-solid properties of finely meromorphic functions, Ukrainian Math. J. 54 (2002), 1680-1687.
  55. Sarana, A., Improved contour-solid theorems for finely holomorphic functions, submitted.
  56. Tamrazov P., Batteries and variational problems of the theory of logarithmic potential, Preprint 01.1 of Inst. Math. Nat. Acad. Sci. Ukraine, 2001. (Russian)
  57. Tamrazov, P., Finely holomorphic and finely hypoharmonic functions in contour-solid problems, Ann. Acad. Sci. Fenn. Math. 26 (2001), 325-360.
  58. Tamrazov, P., Batteries and energy minimization problems of potential theory, Proc. 3rd ISAAC Conference (to appear).
  59. Tarasyuk, S. and Vasyl'kiv, Ya., Minimal growth majorants of subharmonic functions in Rm of infinite order, Visn. Kharkov Univ. 514 (2001), 177-182. (Ukrainian)
  60. Vasyl'kiv, Ya. V., On growth of functions of infinite order subharmonic in C, Ukrainian Math. J. 54 (2002), 1279-1284. (Ukrainian)
  61. Vasyl'kiv, Ya. V. and Protsyk, Yu. S., Canonical Weierstrass integral for subharmonic functions of infinite order, Visn. Kharkov Univ. 542 (2002), 118-130.

Value distribution theory
Co-ordinator: P. Agranovich (Kharkov), email: agranovich@ilt.kharkov.ua

Cumulative list of references:

  1. Agranovich, P., Existence of a holomorphic function with given indicator in the described variable, Math. Fiz. Anal. Geom. 8 (2001), 351-365.
  2. Agranovich, P. and Logvinenko, V., Exceptional sets for entire functions, Mat. Stud. 13 (2000), 149-156.
  3. Agranovich, P., Polynomial asymptotic representation of a holomorphic function with a distinguished variable, submitted.
  4. Agranovich, P., On exactness of a theorem of Titchmarsh type, submitted.
  5. Barsegian, G., A new program of investigations in analysis: Gamma-lines approach, Value distribution theory and its related topics, Kluwer (to appear).
  6. Barsegian, G., Laine, I. and Yang C. C., Stability phenomenon and problems for complex differential equations with relations to shared values, Mat. Stud. 13 (2000), 224-228.
  7. Barsegian, G., Laine, I. and Yang C. C., Locations of values of meromorphic solutions of algebraic differential equations, Complex Variables 46 (2001), 323-336.
  8. Barsegian, G., Laine, I. and Yang, C. C. (editors), Value distribution theory and its related topics, Kluwer (to appear).
  9. Barsegian, G. and Yang C. C., Some new generalizations in the theory of meromorphic functions and their applications II, Complex Variables 44 (2001), 13-27.
  10. Barsegian, G. and Yang C. C., On some new concept of exceptional values of meromorphic functions and its applications, to appear.
  11. Benbourenane, D. and Korhonen, R., On the growth of the logarithmic derivative, Comput. Methods Funct.Theory 1 (2001), 301-310.
  12. Bergweiler, W., Normality and exceptional values of derivatives, Proc. Amer. Math. Soc. 129 (2001), 121-129.
  13. Bergweiler, W., Covering properties of derivatives of meromorphic functions, Complex Variables Theory Appl. 43 (2001), 241-249.
  14. Bergweiler, W., Rescaling principles in function theory, Proceedings of the International Conference on Analysis and its Applications (ed. by K. S. Lakshmi, R. Parvatham and H. M. Srivastava), Allied Publishers Ltd., New Delhi, 2001, pp. 11-29.
  15. Bergweiler, W., On proper analytic maps with one critical point, Value distribution theory and complex dynamics, Contemp. Math. 303 (2002), pp. 1-6.
  16. Bergweiler, W. and Bargmann, D., Composite meromorphic functions and growth of the spherical derivative, J. Math. Anal. Appl. 257 (2001), 274-281.
  17. Bergweiler, W., Eremenko, A. and Langley, J., Real entire functions of infinite order and a conjecture of Wiman, Geom. Funct. Anal. (to appear).
  18. Bergweiler, W., Ishizaki, K. and Yanagihara, N., Growth of meromorphic solutions of some functional equations, I, Aequationes Math. 63 (2002), 140-151.
  19. Bergweiler, W. and Langley, J., Nonvanishing derivatives and normal families, J. Analyse Math. (to appear).
  20. Bergweiler, W. and Langley, J., Multiplicities in Hayman's alternative, submitted.
  21. Bergweiler, W. and Pang, X., On the derivative of meromorphic functions with multiple zeros, J. Math. Anal. Appl. 278 (2003), 285-292.
  22. Brytik, V., Holomorphic solution of algebraic equation with almost periodic coefficients, Mat. Stud. (2001)
  23. Brytik, V., Almost periodic solutions of functional equations, Mat. Fiz. Anal. Geom. 8 (2001), 239-250.
  24. Brytik, V. and Favorov, S., Solutions of algebraic equations with analytic almost periodic coefficients, Math. Fiz. Anal. Geom. 7 (2000), 380-386.
  25. Chyzhykov, I. E., On sets of positive deviations of analytic functions, Visnik Lviv. Univ. Ser. Mekh. Mat. 58 (2000), 48-53. (Ukrainian)
  26. Chyzhykov, I. E., An addition to cos pr -theorem for subharmonic and entire functions of zero lower order, Proc. Amer. Math. Soc. 130 (2002), 517-528.
  27. Chyzhykov, I. E., Closeness of a-points property and structure of Riemannian surfaces from Fq class, Mat. Fiz. Anal. Geom. 8 (2001), 140-154. (Russian)
  28. Chyzhykov, I., Gundersen, G. and Heittokangas, J., Linear differential equations and the logarithmic derivatives estimates, Proc. London Math. Soc. 86 (2003), 735-754.
  29. Ciechanowicz, E. and Marchenko, I., Maximum modulus points, deviations and spreads of meromorphic functions, Value distribution theory and its related topics, Kluwer (to appear).
  30. Favorov, S., Zeros of holomorphic almost periodic functions, J. Anal. Math. 84 (2001), 51-66.
  31. Favorov, S., Zeros of analytic almost periodic functions, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekn. Nauki 1 (2001), 32-36.
  32. Favorov, S., Holomorphic almost periodic functions in tube domains and their amoebas, Comput. Methods Funct. Theory 1 (2001), 403-415.
  33. Favorov, S. Almost periodic divisors, holomorphic functions and holomorphic mappings, submitted.
  34. Favorov, S. and Parfyonova, N., Almost periodic holomorphic mappings into complex manifolds, Proc. of Complex Anal. Appl. (to appear).
  35. Favorov, S. and Rashkovskii, A., Holomorphic almost periodic functions, Acta Appl. Math 65 (2001), 217-235.
  36. Favorov, S. and Rashkovskii, A., Almost periodicity in complex analysis, submitted.
  37. Favorov, S., Rashkovskii, A. and Ronkin, L., Almost periodic currents, divisors and holomorphic chains in tube domains, Israel. Math. Conf. Proc. 15 (2001), 67-88.
  38. Favorov, S. and Udodova O., Almost periodic functions in finite dimensional space with spectrum in a cone, Mat. Fiz. Anal. Geom. 9 (2002), 465-477. (Russian)
  39. Favorov, U. and Udodova, O., Analytic almost periodic functions in Besicovitch's metrics, Visnik Lviv. Univ. Ser. Mekh. Mat. (to appear).
  40. Favorov, S. and Udodova, O., Spaces of holomorphic almost periodic functions in a strip, submitted.
  41. Grahl, J., An extension of normality result of D. Drasin and H. Chen & X. Hua for analytic functions, Comput. Methods Funct. Theory 1 (2001), 457-478.
  42. Grahl, J., Semiduality of small sets of analytic functions, Comput. Methods Funct. Theory 2 (2002), 113-135.
  43. Grahl, J., Bloschsches Prinzip, Lückenreihen und Semidualität, Ph.D. thesis, Würzburg, 2002.
  44. Grahl, J., On the construction of semidual gap structures, submitted.
  45. Grahl, J., Hayman's alternative and normal families of nonvanishing meromorphic functions, submitted.
  46. Grishin, A., The simplest tauberian theorem, Mat. Zametki (to appear).
  47. Grishin, A. and Makarenko, S., About one theorem of Yulmukhamedov, Math. Notes 67 (2000), 859-862.
  48. Grishin, A. and Malyutina, T., Density functions, Mat. Fiz. Anal. Geom. 7 (2000), 387-414. (Russian)
  49. Grishin, A. and Malyutina, T., General properties of subharmonic functions of finite order in a complex half-plane, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 20-44.
  50. Grishin, A. and Malyutina, T., Subharmonic functions satisfying the local Levin condition, Israel Math. Conf. Proc. 15 (2001), 137-147 .
  51. Grishin, A. and Poedintseva, I.,: The integrals with kernels including logarithms, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002), 28-34.
  52. Grishin, A. and Poedintseva, I., Two integrals, submitted.
  53. Gundersen, G., Heittokangas, J., Laine, I., Rieppo, J. and Yang, D., Meromorphic solutions of generalized Schröder equations, Aequationes Math. 63 (2002), 110-135.
  54. Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Tohge, K., Complex difference equations of Malmquist type, Comput. Methods Funct. Theory 1 (2001), 27-39.
  55. Heittokangas, J., Laine, I., Rieppo, J. and Yang, D., Meromorphic solutions of some linear functional equations, Aequationes Math. 60 (2000), 148-166.
  56. Kondratyuk, A. A. and Vasyl’kiv, Ya. V., Generalized Lindelöf conditions of finite l-type of subharmonic function, Ukrainian Math. J. 54 (2002), 276-279. (Ukrainian)
  57. Kondratyuk, A. A. and Vasyl’kiv, Ya. V., Minimal growth majorants of entire functions and quotient representation of meromorphic functions, Dopov. Nats. Akad. Nauk Ukr. Mat. Pridozn. Tekh. Nauki 4 (2002), 7-11. (Ukrainian)
  58. Kondratyuk, A. and Vasyl'kiv, Ya., Growth majorants and quotient representations of meromorphic functions, Comput. Methods Funct. Theory 1 (2001), 595-606.
  59. Korhonen, R., Nevanlinna theory in an annulus, Value distribution theory and its related topics, Kluwer (to appear).
  60. Lyzun, O. Ya. and Vasyl'kiv, Ya. V., On growth majorants of entire functions, Visn. Lviv. Univ. 59 (2001), 51-56. (Ukrainian)
  61. Marchenko, I., On the deviations and deficiencies of meromorphic functions of finite lower order, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki (2000), no. 3, 29-32. (Ukrainian)
  62. Marchenko, I., On the Shea estimate for the magnitude of deviation of a meromorphic function, Izv. Vyssh. Uchebn. Zaved. Mat. (2000), no. 8, 46-51. (Russian)
  63. Marchenko, I., On a question of Petrenko for entire functions of two complex variables, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002), 136-138.
  64. Marchenko, I., On the growth of meromorphic functions, Mat. Fiz. Anal. Geom. (to appear)
  65. Marchenko, I., On estimates of upper and lower logarithmic density in the theory of functions, Izv. VUZov Math. 10 (2002), 64-70.
  66. Marchenko, I., On strong asymptotic spots of entire functions, Dopov. Nats. Acad. Nauk Ukr. Prorodozn. Tekh. Nauki 5 (2003).
  67. Marchenko, I. and Nikolenko, I., Growth of meromorphic in the circle functions of infinite order, Vestnik Khar'kov. Univ. Ser. Math. Mech. 475 (2000), 113-125.
  68. Marchenko, I. and Nikolenko, I., On the values of deviations for functions meromorphic in the disk, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2 (2002), 25-28. (Russian)
  69. Marchenko, I. and Nikolenko, I., On asymptotic spots of functions holomorphic in the disk, Mat. Fiz. Anal. Geom. 9 (2002), 369-384. (Russian)
  70. Marchenko, I. and Nikolenko, I., On strong asymptotic spots of functions holomorphic in the disk, submitted.
  71. Mykytyuk, Ya. V. and Vasyl’kiv, Ya. V., The boundedness criteria of integral means of Blaschke product logarithms, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn Tekh. Nauki 8 (2000), 10-14. (Ukrainian)
  72. Nikolenko, I., Growth of meromorphic minimal surfaces of infinite order, Mat. Stud. 98 (2002), 35-52.
  73. Parfyonova, N., Continuous extension to Bohr's compact set of meromorphic almost periodic functions, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002), 73-84. (Russian)
  74. Parfyonova, N., Holomorphic almost periodic mappings into projective space.
  75. Parfyonova, N. and Favorov, S., Meromorphic almost periodic functions, Mat. Stud. 13 (2000), 190-198.
  76. Prytula, Ya. Ya., Asymptotic properties of maximum modulus and maximal term of Dirichlet series, Ph.D. thesis, Lviv Univ., 2000. (Ukrainian)
  77. Rashkovskii, A., Zeros of holomorphic almost periodic mappings with independent components, Complex Variables Theory Appl. (to appear).
  78. Rashkovskii, A., Total masses of mixed Monge-Ampere currents, submitted.
  79. Salo, T. M. and Skaskiv, O. B., On exceptional sets in Wiman-Valiron type theorems, Visn. Lviv. Univ. 56 (2000), 176-178. (Ukrainian)
  80. Salo, T. M., Skaskiv, O. B. and Trakalo, O. M., On the best possible description of exceptional sets in Wiman-Valiron theory for entire functions, Mat. Stud. 16 (2001), 131-140.
  81. Skaskiv, O. B., On central index of absolutely convergent Dirichlet series, Dop. Nats. Akad. Nauk. Ukr. Mat. Prirodozn. Tekh. Nauki (2000), no. 10, 27-30. (Ukrainian)
  82. Skaskiv, O. B., Estimates of measures of exceptional sets in the Wiman-Valiron theory, Nonlinear Boundary Problems 11 (2001), 186-190.
  83. Skaskiv, O. B. and Chyzhykov, I. E., The Nevanlinna characteristics and maximum modulus of gap power series, Mat. Stud. 13 (2000), 125-133.
  84. Skaskiv, O. B., Chyzhykov, I. E., On the minimum modulus of an entire function of zero genus, Visn. Lviv. Univ. 59 (2001), 61-65. (Ukrainian)
  85. Skaskiv, O. and Trakalo, O., On slow growth of the counting function of a positive sequence, Visnik. Lviv. Univ. Ser. Mekh. Mat. 58 (2000), 36-40. (Ukrainian)
  86. Skaskiv, O. B. and Trusevych, O. M., On Borel type theorem for series similar to Taylor-Dirichlet series, Mat. Stud. 13 (2000), 79-82. (Ukrainian)
  87. Tarasyuk, S. I. and Vasyl’kiv Ya. V., Growth of square means of meromorphic functions of order less than one, Visn. Lviv. Univ. 58 (2000), 15-20. (Ukrainian)
  88. Udodova, O., Holomorphic almost periodic functions in tube domain, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002). (Russian)
  89. Udodova, O., Holomorphic almost periodic functions in various metrics, Vestnik Khar'kov. Univ. Ser. Math. Mech. (to appear).
  90. Vasyl’kiv, Ya. V., Growth of integral means of distribution functions for sequences, Visn. Lviv. Univ. 56 (2000), 44-47. (Ukrainian)
  91. Vasyl'kiv, Ya. V., On growth of functions of infinite order subharmonic in C, Ukrainian Math. J. 54 (2002), 1279-1284. (Ukrainian)
  92. Vasyl'kiv, Ya. V., A remark to conditions of l-type finiteness of entire functions, Math. and Phiz.-mech. Fields 45 (2002), 7-11. (Ukrainian)

Complex dynamics
Co-ordinator:  W. Bergweiler (Kiev), email: bergweiler@math.uni-kiel.de

Cumulative list of references:

  1. Bergweiler, W., The role of the Ahlfors five islands theorem in complex dynamics, Conform. Geom. Dyn. 4 (2000), 22-34.
  2. Bergweiler, W., On the number of critical points in parabolic basins, Ergodic Theory Dynam. Systems 22 (2002), 655-669.
  3. Bergweiler, W., A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities, Proc. Amer. Math. Soc 130 (2002), 3231-3236.
  4. Bergweiler, W., Singularities in Baker domains, Comput. Methods Funct. Theory 1 (2001), 41-49.
  5. Bergweiler, W., Ahlfors theory and complex dynamics: periodic points of entire functions, Complex Dynamics and Related Fields, RIMS Kokyuroku 1269 (2002), 1-11.
  6. Bergweiler, W., Periodic Fatou components and singularities of the inverse function, submitted.
  7. Bergweiler, W. and Bargmann, D., Periodic points and normal families, Proc. Amer. Math. Soc 129 (2001), 2881-2888.
  8. Bergweiler, W. and Eremenko, A., Entire functions of small growth whose Julia set coincides with the plane, Ergodic Theory Dynam. Systems 20 (2000), 1577-1582. Correction: ibid. 21 (2001), p. 637.
  9. Bergweiler, W. and Morosawa, S., Semihyperbolic entire functions, Nonlinearity 15 (2002), 1673-1684.
  10. Brytik, V., Holomorphic solution of algebraic equation with almost periodic coefficients, Mat. Stud. (2001).
  11. Brytik, V., Almost periodic solutions of functional equations, Mat. Fiz. Anal. Geom. 8 (2001), 239-250.
  12. Brytik, V. and Favorov, S., Solutions of algebraic equations with analytic almost periodic coefficients, Math. Fiz. Anal. Geom. 7 (2000), 380-386.
  13. Favorov, S., Zeros of holomorphic almost periodic functions, J. Anal. Math. 84 (2001), 51-66.
  14. Favorov, S., Zeros of analytic almost periodic functions, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 1 (2001), 32-36.
  15. Favorov, S., Holomorphic almost periodic functions in tube domains and their amoebas, Comput. Methods Funct. Theory 1 (2001), 403-415.
  16. Favorov, S. Almost periodic divisors, holomorphic functions and holomorphic mappings, submitted.
  17. Favorov, S. and Parfyonova, N., Almost periodic holomorphic mappings into complex manifolds, Proc. Complex Anal. Appl. (to appear).
  18. Favorov, S. and Rashkovskii, A., Holomorphic almost periodic functions, Acta Appl. Math. 65 (2001), 217-235.
  19. Favorov, S. and Rashkovskii, A., Almost periodicity in complex analysis, submitted.
  20. Favorov, S., Rashkovskii, A. and Ronkin, L., Almost periodic currents, divisors and holomorphic chains in tube domains, Israel. Math. Conf. Proc. 15 (2001), 67-88.
  21. Favorov, S. and Udodova O., Almost periodic functions in finite dimensional space with spectrum in a cone, Mat. Fiz. Anal. Geom. 9 (2002), 465-477. (Russian)
  22. Favorov, U. and Udodova, O., Analytic almost periodic functions in Besicovitch's metrics, Visnik Lviv. Univ. Ser. Mekh. Mat. (to appear).
  23. Favorov, S. and Ododova, O., Spaces of holomorphic almost periodic functions in a strip, submitted.
  24. Gumenuk, P. A., The Fatou and Julia sets of multivalued analytic functions, Siberian Math. J. 43 (2002), 1293-1303. (Russian)
  25. Gundersen, G., Heittokangas, J., Laine, I., Rieppo, J. and Yang, D., Meromorphic solutions of generalized Schröder equations, Aequationes Math. 63 (2002), 110-135.
  26. Gustafsson, B., Prokhorov, D. and Vasil'jev, A., Infinite lifetime for starlike dynamics in Hale-Shaw cells, submitted.
  27. Kuznetsov, A. A., Representation of univalent functions as infinite compositions, Izv. VUZov Math. 10 (2002), 56-63. (Russian)
  28. Parfyonova, N., Continuous extension to Bohr's compact set of meromorphic almost periodic functions, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002), 73-84. (Russian)
  29. Parfyonova, N., Holomorphic almost periodic mappings into projective space.
  30. Parfyonova, N. and Favorov, S., Meromorphic almost periodic functions, Mat. Stud. 13 (2000), 190-198.
  31. Prokhorov, D. V. and Vasil'ev A., Convex dynamics in Hele-Shaw cells, Int. J. Math. Math. Sci. 31 (2002), 638-650.
  32. Rashkovskii, A., Zeros of holomorphic almost periodic mappings with independent components, Complex Variables Theory Appl. (to appear).
  33. Rempe, L., Dynamics of exponential maps, to appear.
  34. Udodova, O., Holomorphic almost periodic functions in tube domain, Vestnik Khar'kov. Univ. Ser. Math. Mech. 542 (2002). (Russian)
  35. Udodova, O., Holomorphic almost periodic functions in various metrics, to appear.

Complex differential equations
Co-ordinator:  G. Barseghyan (Yerevan), email: barseg@arminco.com

Cumulative list of references:

  1. Barsegian, G., Laine, I. and Yang C. C., Stability phenomenon and problems for complex differential equations with relations to shared values, Mat. Stud. 13 (2000), 224-228.
  2. Barsegian, G., Laine, I. and Yang C. C., On a method of estimating derivatives in complex differential equations, J. Math. Soc. Japan. 54 (2002), 923-935.
  3. Barsegian, G., Laine, I. and Yang C. C., Locations of values of meromorphic solutions of algebraic differential equations, Complex Variables 46 (2001), 323-336.
  4. Barsegian, G., Laine, I. and Yang, C. C. (editors), Value distribution theory and its related topics, Kluwer (to appear).
  5. Barsegian, G., Begehr, H. and Laine, I., Stability phenomenon for generalizations of algebraic differential equations, Zeitschrift Anal. Anwendungen 21 (2002), 495-503.
  6. Barsegian, G., Sarkisian, A. and Yang C. C., A new trend in complex differential equations: value distribution of quasimeromorphic solutions, submitted.
  7. Bergweiler, W. and Hayman, W., Zeros of solutions of a functional equation, Comput. Methods Funct. Theory (to appear).
  8. Bergweiler, W., Ishizaki, K. and Yanagihara, N., Growth of meromorphic solutions of some functional equations I, Aequationes Math. 63 (2002), 140-151.
  9. Chyzhykov, I., Gundersen, G. and Heittokangas, J., Linear differential equations and the logarithmic derivatives estimates, Proc. London Math. Soc. 86 (2003), 735-754.
  10. Gromak, V., Laine, I. and Shimomura, S., Painlevé differential equations in the complex plane, Studies in Mathematics 28, de Gruyter, Berlin, 2002, 303 p.
  11. Heittokangas, J., On complex differential equations in the unit disc, Ann. Acad. Sci. Fenn. Math. Diss. No. 122 (2000).
  12. Heittokangas, J., Korhonen, R. and Laine, I., On meromorphic solutions of certain nonlinear differential equations, Bull. Austr. Math. Soc. 66 (2002), 331-343.
  13. Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J. and Tohge, K., Complex difference equations of Malmquist type, Comput. Methods Funct.Theory 1 (2001), 27-39.
  14. Heittokangas, J. and Laine, I., Entire solutions of F''+A(Z)F=0 with prescribed sequences of zeros, Value distribution theory and its related topics, Kluwer (to appear).
  15. Hinkkanen, A. and Laine, I., Solutions of a modified third Painlevé equation are meromorphic, J. Analyse Math. 85 (2001), 323-337.
  16. Hinkkanen, A. and Laine, I., Solutions of a modified fifth Painlevé equation are meromorphic, Rep. Univ. Jyväskylä Dep. Math. Stat. 83 (2001), 133-146.
  17. Hinkkanen, A. and Laine, I., The meromorphic nature of the sixth Painlevé transcendents, submitted.
  18. Ishizaki, K., Laine, I., Shimomura, S. and Tohge, K., Riccati differential equations with elliptic coefficients II, Tohoku Math. J. 55 (2003), 99-108.
  19. Korhonen, R., Meromorphic solutions of differential and difference equations with deficiencies, Ann. Acad. Sci. Fenn. Math. Diss. No. 129 (2002).
  20. Korhonen, R., Sharp forms of Nevanlinna error terms in differential equations, Univ. Joensuu Dept. Math. Rep. Ser. (to appear).
  21. Laine, I. and Rieppo, J., Differential polynomials generated by linear differential equations, submitted.
  22. Laine, I. and Wu, P., Growth of solutions of second order linear differential equations, Proc. Amer. Math. Soc. 128 (2000), 2693-2703.
  23. Mohon'ko, A. Z., On the growth of meromorphic solutions of algebraic differential equation in a neighbourhood of logarithmic singularity, Ukrain. Math. J. (to appear).
  24. Mohon'ko, A. Z., The order and the growth of analytical solutions of algebraic differential equation in a neighboushood of logarithmic singularity, Mat. Stud. 17 (2002), 138-152. (Russian)
  25. Mohon'ko, A. Z. and Mohon'ko, V. D., On order of growth of analytic solutions for algebraic differential equations having logarithmic singularity, Mat. Stud. 13 (2000), 203-218.
  26. Mohon'ko, A. Z. and Mohon'ko, V. D., Asymptotic growth estimates of meromorphic solutions of differential equations in angular domains, Sibirsk. Mat. Zh. 41 (2000), 185-199. (Russian)
  27. Silvennoinen, H., Meromorphic solutions of some composite finctional equations, Ann. Acad. Sci. Fenn. Math. Diss. (to appear).

Complex function spaces and operator theory
Co-ordinator: S. Ruscheweyh (Würzburg), email: ruscheweyh@mathematik.uni-wuerzburg.de

Cumulative list of references:

  1. Anderson, G. D., Qiu, S.-L., Vamanamurthy, M. K. and Vuorinen, M., Generalized elliptic integrals and modular equations, Pacific J. Math. 192 (2000), 1-37.
  2. Aulaskari, R., Chen, H., On Qp (R) and Qp#(R) for Riemann surfaces, submitted.
  3. Aulaskari, R., Girela, D. and Wulan, H., Taylor coefficients and mean growth of the derivative of Qp functions, J. Math. Anal. Appl. 258 (2001), 415-428.
  4. Aulaskari, R., Girela, D. and Wulan, H., Qp  spaces, Hadamard products and Carleson measures, Math. Rep. 4 (2000), 421-430.
  5. Aulaskari, R., Lappan, P. and Zhao, R., On harmonic normal and Qp# functions, Ill. J. Math. 45 (2001), 423-440.
  6. Aulaskari, R., Makhmutov, S. and Wulan, H., On qp sequences, Proceedings of the 18th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (Hanoi) (to appear).
  7. Aulaskari, R., Perez-Gonzalez, F. and Wulan, H., Some inequalities for Qp functions, manuscript.
  8. Aulaskari, R. and Wulan, H., A version of the Lohwater-Pommerenke theorem for strongly normal functions, Comput. Methods Funct. Theory 1 (2001), 99-105.
  9. Aulaskari, R. and Wulan, H., Outer functions in Qp#, Qp,0#, submitted.
  10. Bakan, A. and Ruscheweyh, St., Properties of measures satisfying the Carleman condition, submitted.
  11. Bakan, A. and Ruscheweyh, St., On the existence of generalized Pólya frequency functions corresponding to entire functions with zeros in angular sectors, Complex Variables Theory Appl. 47 (2002), 565-576.
  12. Bakan, A. and Ruscheweyh, St., Representation of measures with simultaneous polynomial denseness in Lp(R,dμ), 1 ≤ p < ∞, submitted.
  13. Grahl, J., Blochsches Prinzip, Lückenreihen und Semidualität, Ph.D. thesis, Würzburg, 2002.
  14. Grahl, J., On the construction of semidual gap structures, submitted.
  15. Grahl, J., Hayman's alternative and normal families of nonvanishing meromorphic functions, submitted.
  16. Mykytyuk, Ya.V. and Vasyl'kiv, Ya. V., The boundedness criteria of integral means of Blaschke product logarithms, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn Tekh. Nauki 8 (2000), 10-14. (Ukrainian)
  17. Rättyä, J., On some complex function spaces and classes, Ann. Acad. Sci. Fenn. Math. Diss. No. 124 (2001).
  18. Roth, O., A non-linear extremum problem for Bloch functions with applications to geometric function theory, submitted.
  19. Ruscheweyh, St. On a moment problem and a class of perfect summability methods, J. Analysis (to appear).
  20. Terekhin, P. A., On multiplicative structure of a multishift centralizer in a Hilbert space, Uch. Zap. Saratov Univ., Ser. Math. Mech. (2000), 116-118. (Russian)
  21. Terekhin, P., On Fourier coefficients of integrable functions by families of wavelets, submitted.
  22. Terekhin, P., Riesz bases generated by contractions and translations of a function on the interval, Math .Notes 72 (2002), 505-518.
  23. Terekhin, P., On perturbations of the Haar system, submitted. (Russian)
  24. Terekhin, P., Wavelets on a ring of integer p-adic numbers, submitted. (Russian)
  25. Terekhin, P., Multishift in the Hilbert space, submitted. (Russian)

Control theory and optimization methods
Co-ordinator:  D. Prokhorov (Saratov), email: ProkhorovDV@info.sgu.ru

Cumulative list of references:

  1. Fardigola, L. and Sheveleva, Yu., On stabilizability of evolution systems of partial differential equations on Rn´[0,+¥) by time-delayed feedback controls, Ukrain. Mat. Zh. 54 (2002).
  2. Fardigola, L. and Lobanova, M., Stabilizability of evolution partial differential equations on Rn´[0,+¥) by time-delayed feedback controls, Central Eur. J. Math. 1 (2003), 141-156.
  3. Ganczar, A., Prokhorov, D. V. and Szynal, J., A coefficient product estimate for bounded univalent functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A. 54 (2000), 27-44.
  4. Jafari, F. and Prokhorov, D. V., A Mayer in H¥ optimal control, submitted.
  5. Jakubowski, Z., Prokhorov, D. V. and Szynal, J., Proof of a coefficient product conjecture for bounded univalent functions, Complex Variables Theory Appl. 42 (2000), 241-258.
  6. Kamyshova, G. N., Estimates for the Mocanu functional, Mathematica (Cluj) (to appear).
  7. Kuznetsov, A., Approximation of univalent functions by compositions, submitted.
  8. Prokhorov, D. V., On the two-functional-conjecture in the theory of univalent functions, Uch. Zap. Saratov Univ. Ser. Math. Mech. (2000), 98-101. (Russian)
  9. Prokhorov, D. V., Geometric methods in the coefficient problem for analytic functions, Izv. Saratov Univ. (New Series) 1 (2001), 43-55. (Russian)
  10. Prokhorov, D. V., Necessary conditions for the extremality of the Pick mapping: geometry and analysis, Scientia Ser. A Math. Sci. (N.S.) 8 (2002), 43-51.
  11. Prokhorov, D. V., Extremal bounded slit mappings for linear functionals, Rocky Mountain J. Math. 33 (2003).
  12. Prokhorov, D. V. and Roth, O., On the local extremum property of the Koebe function, Math. Proc. Cambr. Phil. Soc. (to appear).
  13. Prokhorov, D.V. and Vasil'ev A., Exact Bombieri numbers and fourth coefficient for bounded univalent function, submitted.
  14. Sklyar, G. and Fardigola L., The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis, Mat. Fiz. Anal. Geom. 9 (2002), 233-242.
  15. Sklyar, G. and Fardigola L., The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis. J. Math. Anal. Appl. 276 (2002), no. 1, 109-134.

    16. updated 20.5.2003
    by Minna Pylkkönen