Sphericalization and flattening in quasi-metric measure spaces

被引：1

作者：

Zhou, Qingshan ^{[1
]}

Li, Xining ^{[2
]}

Ponnusamy, Saminathan ^{[3
]}

Li, Yaxiang ^{[4
]}

机构：

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

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[3] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

[4] Hunan First Normal Univ, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 516卷 / 01期

关键词：

Quasi-metric spaces; Sphericalization; Flattening; Doubling condition; Ahlfors regular; Quasi-mobius; UNIFORM PERFECTNESS; GEOMETRY;

D O I：

10.1016/j.jmaa.2022.126496

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the note is to explore the invariance properties of sphericalization and flattening in quasi-metric spaces. We show that the Ahlfors regular and doubling property of quasi-metric spaces are preserved under sphericalization and flattening transformations. As an application, we give an improvement of a recent result in [21]. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：23

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