Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces

Manzi Huang; Antti Rasila; Xiantao Wang; Qingshan Zhou

doi:10.4064/sm8629-6-2017

Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces

Manzi Huang, Antti Rasila, Xiantao Wang, Qingshan Zhou

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

17 Citations (Scopus)

Abstract

We investigate the relationship between semisolidity and locally weak quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. We generalize the main result of Huang and Liu (2015) and give a complete solution to an open problem given there. Two applications are given.

Original language	English
Pages (from-to)	267-301
Number of pages	35
Journal	Studia Mathematica
Volume	242
Issue number	3
DOIs	https://doi.org/10.4064/sm8629-6-2017
Publication status	Published - 1 Jan 2018
MoE publication type	A1 Journal article-refereed

Keywords

Length metric
Locally weak quasisymmetry
Quasiconformality
Quasiconvex metric space
Quasihyperbolic metric
Quasisymmetry
Semisolidity
Weak quasisymmetry

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keywords = "Length metric, Locally weak quasisymmetry, Quasiconformality, Quasiconvex metric space, Quasihyperbolic metric, Quasisymmetry, Semisolidity, Weak quasisymmetry",

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AU - Zhou, Qingshan

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KW - Locally weak quasisymmetry

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KW - Quasiconvex metric space

KW - Quasihyperbolic metric

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KW - Semisolidity

KW - Weak quasisymmetry

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Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces

Abstract

Keywords

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