The properties of generalized John domains in metric spaces

被引：0

作者：

Liu, Hongjun ^{[1
]}

Yan, Fang ^{[1
]}

Xia, Ling ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Generalized John domain; uniform domain; decomposition property; union; quasiconvex domain; QUASI-CONFORMAL MAPPINGS; MAPS; DISTANCE;

D O I：

10.3934/math.2024767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we studied the properties of generalized John domains in metric space. We prove that a domain D is a yo -John domain if, and only if, D \ P is a yo ' -John domain, where P is a subset of D containing finitely many points of D . Meanwhile, we also showed that the union of yo -John domains is a yo " -John domain in metric space.

引用

页码：15875 / 15890

页数：16

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