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Quasisymmetry and Quasihyperbolicity of Mappings on John Domains by Manzi Huang; Antti Rasila; Xiantao Wang; Qingshan Zhou is a Mathematics article available to read on EtoBox.

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Suppose that G is a proper subdomain of R n , f : G → Y is a homeomorphism with a continuous extension to the inner boundary of G, i.e., the boundary of G with respect to the corresponding inner metric, where (Y , d ) stands for a locally compact, noncomplete and rectifiably connected metric space, and that G = f (G) is uniform in Y . The purpose of this paper is to prove that G is a John domain if f is M-quasihyperbolic in G and the restriction of f on the inner boundary of G is η-quasisymmetric with respect to the inner metric.

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Author

Manzi Huang; Antti Rasila; Xiantao Wang; Qingshan Zhou

Publisher

Springer Science and Business Media LLC

Published

2022

Language

EN

Field

Mathematics (Physical Sciences)