Geometric Function Theory

Abstract

Preface. List of Contributors. Univalent and multivalent functions (W.K. Hayman). Conformal maps at the boundary (Ch. Pommerenke). Extremal quasiconformal mapings of the disk (E. Reich). Conformal welding (D.H. Hamilton). Siegel disks and geometric function theory in the work of Yoccoz (D.H. Hamilton). Sufficient confidents for univalence and quasiconformal extendibility of analytic functions (L.A. Aksent'ev, P.L. Shabalin). Bounded univalent functions (D.V. Prokhorov). The *-function in complex analysis (A. Baernstein II). Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains (A.Z. Grinshpan). Circle packing and discrete analytic function theory (K. Stephenson). Extreme points and support points (T.H. MacGregory, D.R. Wilken). The method of the extremal metric (J.A. Jenkins). Universal Teichmuller space (F.P. Gardiner, W.J. Harvey). Application of conformal and quasiconformal mappings and their properties in approximation theory (V.V. Andrievskii). Author Index. Subject Index.