Quasisymmetry of weakly quasisymmetric homeomorphisms

Tao Cheng; Shanshuang Yang

doi:10.1080/17476933.2018.1511708

Quasisymmetry of weakly quasisymmetric homeomorphisms

Tao Cheng^*, Shanshuang Yang

^*Corresponding author for this work

School of Mathematical Sciences

Emory University

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

2 Scopus citations

Abstract

This paper is devoted to the study of weakly quasisymmetric homeomorphisms. We investigate under what conditions a weakly H-quasisymmetric map is actually quasisymmetric. As a consequence, we deduce conditions under which the inverse and composition of weakly quasisymmetric homeomorphisms are also weakly quasisymmetric.

Original language	English
Pages (from-to)	1184-1199
Number of pages	16
Journal	Complex Variables and Elliptic Equations
Volume	64
Issue number	7
DOIs	https://doi.org/10.1080/17476933.2018.1511708
State	Published - 3 Jul 2019

Keywords

H. Begehr
Quasisymmetry
broad domain
modulus
weak quasisymmetry

Access to Document

10.1080/17476933.2018.1511708

Cite this

@article{95b025c98a6643ed98f1f01d6f748b67,

title = "Quasisymmetry of weakly quasisymmetric homeomorphisms",

abstract = "This paper is devoted to the study of weakly quasisymmetric homeomorphisms. We investigate under what conditions a weakly H-quasisymmetric map is actually quasisymmetric. As a consequence, we deduce conditions under which the inverse and composition of weakly quasisymmetric homeomorphisms are also weakly quasisymmetric.",

keywords = "H. Begehr, Quasisymmetry, broad domain, modulus, weak quasisymmetry",

author = "Tao Cheng and Shanshuang Yang",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2019",

month = jul,

day = "3",

doi = "10.1080/17476933.2018.1511708",

language = "英语",

volume = "64",

pages = "1184--1199",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

number = "7",

}

TY - JOUR

T1 - Quasisymmetry of weakly quasisymmetric homeomorphisms

AU - Cheng, Tao

AU - Yang, Shanshuang

PY - 2019/7/3

Y1 - 2019/7/3

N2 - This paper is devoted to the study of weakly quasisymmetric homeomorphisms. We investigate under what conditions a weakly H-quasisymmetric map is actually quasisymmetric. As a consequence, we deduce conditions under which the inverse and composition of weakly quasisymmetric homeomorphisms are also weakly quasisymmetric.

AB - This paper is devoted to the study of weakly quasisymmetric homeomorphisms. We investigate under what conditions a weakly H-quasisymmetric map is actually quasisymmetric. As a consequence, we deduce conditions under which the inverse and composition of weakly quasisymmetric homeomorphisms are also weakly quasisymmetric.

KW - H. Begehr

KW - Quasisymmetry

KW - broad domain

KW - modulus

KW - weak quasisymmetry

UR - https://www.scopus.com/pages/publications/85053280841

U2 - 10.1080/17476933.2018.1511708

DO - 10.1080/17476933.2018.1511708

M3 - 文章

AN - SCOPUS:85053280841

SN - 1747-6933

VL - 64

SP - 1184

EP - 1199

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 7

ER -

Quasisymmetry of weakly quasisymmetric homeomorphisms

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this