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April 2017 Triangulation extensions of self-homeomorphisms of the real line
Yi Qi, Yumin Zhong
Kyoto J. Math. 57(1): 1-15 (April 2017). DOI: 10.1215/21562261-3664950

Abstract

For every sense-preserving self-homeomorphism of the real axis, Hubbard constructed an extension that is a self-homeomorphism of the upper half-plane by triangulation. It is natural to ask if such extensions of quasisymmetric homeomorphisms of the real axis are all quasiconformal. Furthermore, for what sense-preserving self- homeomorphisms are such extensions David mappings? In this article, a sufficient and necessary condition for such extensions to be quasiconformal and a sufficient condition for such extensions to be David mappings are given.

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Yi Qi. Yumin Zhong. "Triangulation extensions of self-homeomorphisms of the real line." Kyoto J. Math. 57 (1) 1 - 15, April 2017. https://doi.org/10.1215/21562261-3664950

Information

Received: 8 October 2013; Revised: 21 October 2015; Accepted: 19 November 2015; Published: April 2017
First available in Project Euclid: 11 March 2017

zbMATH: 1366.30017
MathSciNet: MR3621777
Digital Object Identifier: 10.1215/21562261-3664950

Subjects:
Primary: 30C62
Secondary: 37F30

Rights: Copyright © 2017 Kyoto University

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Vol.57 • No. 1 • April 2017
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