Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks

Yu-Ming Chu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We prove that a homeomorphism f : R2 → R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.

Date: 2014
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https://doi.org/10.1155/2014/419850

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:419850

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