Arcwise connected domains, quasiconformal mappings, and quasidisks
type: Item
instance of: scholarly article
title: Arcwise connected domains, quasiconformal mappings, and quasidisks
zbMATH Open document ID: 1470.30025
DOI: 10.1155/2014/419850
author: Yu-Ming Chu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We prove that a homeomorphism \(f : R^2 \rightarrow R^2\) is a quasiconformal mapping if and only if \(f(D)\) is an arcwise connected domain for any arcwise connected domain \(D \subseteq R^2\), and \(D\) is a quasidisk if and only if both \(D\) and its exterior \(D^* = R^2 \smallsetminus \overline{D}\) are arcwise connected domains.
Mathematics Subject Classification ID: 30C62
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 7022359
Wikidata QID: Q59037854
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/419850
OpenAlex ID: W2007643039
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description: scientific article; zbMATH DE number 7022359