Topological Angles and Freely Quasiconformal Mappings in Real Banach Spaces

被引：0

作者：

Yang, Zhiqiang ^{[1
]}

Zhou, Qingshan ^{[2
]}

机构：

[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

[2] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2023年 / 23卷 / 02期

关键词：

Topological angle; Point measure; Inner measure; Freely quasiconformal mapping; Quasisymmetric mapping; GENERALIZED ANGLES; FREE QUASICONFORMALITY;

D O I：

10.1007/s40315-022-00445-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, several characterizations for both quasisymmetric mappings and freely quasiconformal mappings in real Banach spaces are established. Also, we get a characterization for a freely quasiconformal mapping to be quasisymmetric. All these characterizations consist of inequalities in terms of the point measure and the inner measure of topological angles, which were introduced by Agard and Gehring (Proc Lond Math Soc 3(14a):1-21, 1965). Also, we construct two examples which show that certain conditions in the obtained characterizations can not be removed.

引用

页码：347 / 368

页数：22

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