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.
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页码：15875 / 15890
页数：16
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