Computational Methods and Function Theory 10 (2010), No. 1, 215--221
Copyright Heldermann Verlag 2010
Ngin-Tee Koh
nkoh@uiuc.edu , University of Illinois, Department of Mathematics, Urbana, IL 61801, U.S.A.
In this paper, we prove a distortion theorem for conformal mappings whose images are quasidisks. As an application, we construct a quasiconformal reflection with bounded partial derivatives near the reflection boundary based on the Douady-Earle extension.
Keywords: Conformal mapping, Douady-Earle extension, Koebe distortion, quasiconformal mapping, quasiconformal reflection.
MSC 2000: 30A10, 30C20, 30C35, 30C62.
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