On asymptotic symmetry under quasiconformal mappings
type: Item
instance of: scholarly article
title: On asymptotic symmetry under quasiconformal mappings
zbMATH Open document ID: 0907.30021
published in: Doklady Mathematics
publication date: 1998-06-02T00:00:00Z
review text: It is a well-known result from \textit{A. Beurling} and \textit{L. Ahlfors} [Acta Math. 96, 125-142 (1956; Zbl 0072.29602)] that a homeomorphism \(h\) of the real axis onto itself is quasisymmetric if and only if there exists a quasiconformal extension of \(h\) to the upper half-plane. This paper deals with properties of the quasisymmetric boundary values \(h\) of a quasiconformal mapping of the upper half-plane onto itself depending on the behavior of complex dilatation.
Mathematics Subject Classification ID: 30C62
zbMATH DE Number: 1148133
zbMATH Keywords: quasisymmetric
zbMATH Keywords: homeomorphism
author: Vladimir Gutlyanskiĭ
author: Vladimir I. Ryazanov
reviewed by: Bodo Dittmar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1148133