Analysis in spaces with no a priori smooth structure has progressed to include concepts from
the first order calculus. In particular, there have been important advances in understanding …

A homeomorphism f: f~--* f~'between planar domains fl and fl'is called K-quasiconformal if it
is contained in the Sobolev class W~, loe (f~) and its directional derivatives satisfy maxlO~ f …

This book is devoted to the Beltrami equations that play a significant role in Geometry,
Analysis and Physics and, in particular, in the study of quasiconformal mappings and their …

We prove an equivariant form of Slodkowski's theorem that every holomorphic motion of a
subset of the extended complex plane $\hat {\mathbb {C}} $ extends to a holomorphic …

This book is intended for researchers interested in new aspects of local behavior of plane
mappings and their applications. The presentation is self-contained, but the reader is …

The measurable Riemann Mapping Theorem (or the existence theorem for quasiconformal
mappings) has found a central role in a diverse variety of areas such as holomorphic …

We consider the Beltrami equation∂¯ w= μ (z)∂ w in the classical case where|| μ||∞< 1. in
the relaxed classical case or in the degenerate case where| μ|< 1 ae and|| μ||∞= 1, and in …

Prolongement de mouvements holomorphes Page 1 Astérisque ADRIEN DOUADY
Prolongement de mouvements holomorphes Astérisque, tome 227 (1995), Séminaire Bourbaki …

We show that $ J-$ stability is open and dense in natural families of meromorphic maps of
one complex variable with a finite number of singular values, and even more generally, to …

In this article we give an expository account of the holomorphic motion theorem based on
work of M\a\~ n\'e-Sad-Sullivan, Bers-Royden, and Chirka. After proving this theorem, we …