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VOL. 44 | 2006 Quasisymmetric extension, smoothing and applications
Jang-Mei Wu

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Abstract

We discuss quasisymmetric extension of embeddings that are close to similarities, due to Tukia and Väisälä, and smooth quasiconformal approximation of such extensions. The smoothing is done by convolution with a variable kernel in conjunction with the Tukia-Väisälä extension procedure. We can apply these to the study of branch sets of smooth quasiregular maps, and quasiconformal dimension of self-similar fractals.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

MathSciNet: MR2277825

Digital Object Identifier: 10.2969/aspm/04410091

Subjects:
Primary: 30C65
Secondary: 28A78

Keywords: branch sets , quasiconformal dimensions , quasiregular maps

Rights: Copyright © 2006 Mathematical Society of Japan

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