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2014 Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
Yu-Ming Chu
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/419850


We prove that a homeomorphism f:R2R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain DR2, and D is a quasidisk if and only if both D and its exterior D*=R2D¯ are arcwise connected domains.


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Yu-Ming Chu. "Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks." Abstr. Appl. Anal. 2014 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022359
MathSciNet: MR3256246
Digital Object Identifier: 10.1155/2014/419850

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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