Complex Analysis Joensuu 1987: Proceedings Of The Xiiith Rolf Nevanlinna-colloquium, Held In Joensuu, Finland, Aug. 10-13, 1987 (lecture Notes In Mathematics)

The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests. Inequalities for the extremal distortion function....Pages 1-11 Complete Klein coverings of Klein surfaces of characteristic 0. I....Pages 12-22 Quasiconformal extension of plane quasimöbius embeddings....Pages 23-27 Some integral conditions involving the spherical derivative....Pages 28-37 The dianalytic morphisms of the Klein bottles....Pages 38-51 Remarks on Sobolev imbedding inequalities....Pages 52-68 A generalization of the Teichmüller theorem....Pages 69-77 Unbounded Feynman integrable functionals defined in terms of analytic functions....Pages 78-92 Dynamics of maps with constant Schwarzian derivative....Pages 93-100 Rational Riemann maps....Pages 101-109 A characterization of quasiconformal mappings by the behaviour of a function of three points....Pages 110-123 On a class of univalent functions....Pages 124-139 Integral means of α-strongly starlike functions....Pages 140-145 On p-adic Nevanlinna theory....Pages 146-158 Ahlfors' theorem on asymptotic values and some developments from it....Pages 159-168 Regular b-groups and repeated Dehn twists....Pages 169-192 Metric boundary conditions for plane domains....Pages 193-200 Compactifications of harmonic spaces and Hunt processes....Pages 201-213 Convex functions and the Nehari univalence criterion....Pages 214-218 A Green formula with multiplicities....Pages 219-222 A riemannian metric invariant under Möbius transformations in R n ....Pages 223-235 Deformation of one-dimensional quasisymmetric embeddings....Pages 236-242 On the exponent of convergence for infinitely generated Fuchsian groups....Pages 243-251 The relation between the bounded point derivation and the fine derivation....Pages 252-264 Moduli of continuity and a Hardy-Littlewood theorem....Pages 265-272 A short proof of a theorem of Ahlfors....Pages 273-278 Remarks on the Picard theorem....Pages 279-284 Nonequidimensional value distribution theory....Pages 285-311 Poincaré domains in the plane....Pages 312-327 Concerning the Gross star theorem....Pages 328-338 On harmonic majorization....Pages 339-343 Homeomorphic conjugates of Fuchsian groups: An outline....Pages 344-353 Konforme und quasikonforme Abbildungen und das Krümmungsverhalten von Kurvenscharen....Pages 354-361 Carleson measure and BMO interpolation....Pages 362-370 Extending plurisubharmonic and holomorphic functions....Pages 371-378