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

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

17 Scopus citations

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
State	Published - 2018
Externally published	Yes

Keywords

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

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10.4064/sm8629-6-2017

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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 - Rasila, Antti

AU - Wang, Xiantao

AU - Zhou, Qingshan

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PY - 2018

Y1 - 2018

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KW - Length metric

KW - Locally weak quasisymmetry

KW - Quasiconformality

KW - Quasiconvex metric space

KW - Quasihyperbolic metric

KW - Quasisymmetry

KW - Semisolidity

KW - Weak quasisymmetry

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JO - Studia Mathematica

JF - Studia Mathematica

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ER -

Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces

Abstract

Keywords

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