度量空间中一致域的一个等价刻画

doi:10.6040/j.issn.1671-9352.0.2024.140

《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (4): 109-116.doi: 10.6040/j.issn.1671-9352.0.2024.140

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度量空间中一致域的一个等价刻画

严沙沙,刘红军^*,颜芳,夏令

贵州师范大学数学科学学院, 贵州贵阳 550025

发布日期:2026-04-08
通讯作者: 刘红军(1987— ),男,副教授,博士,研究方向为拟共形映射与度量空间上的分析. E-mail:hongjunliu@gznu.edu.cn
作者简介:严沙沙(2001— ),女,硕士研究生,研究方向为拟共形映射与度量空间上的分析. E-mail:3072269500@qq.com*通信作者:刘红军(1987— ),男,副教授,博士,研究方向为拟共形映射与度量空间上的分析. E-mail:hongjunliu@gznu.edu.cn
基金资助:
国家自然科学基金资助项目(12461012);贵州省科学技术基金资助项目(黔科合基础MS［2026］476,黔科合基础-ZK［2021］一般001)

An equivalence characterization of uniform domains in metric spaces

YAN Shasha, LIU Hongjun^*, YAN Fang, XIA Ling

School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, Guizhou, China

Published:2026-04-08

摘要/Abstract

摘要： 研究度量空间中一致域的相关性质,并证明度量空间中一致域的一个等价性结果。

关键词: 一致域, John域, 条件A(δ), (α, β)类, 度量空间

Abstract: Some related properties of uniform domains in metric spaces are investigated, and an equivalence result of uniform domains in metric spaces is proved.

Key words: uniform domain, John domain, condition A(δ), type(α, β), metric space

中图分类号:

O174.55

严沙沙,刘红军,颜芳,夏令. 度量空间中一致域的一个等价刻画[J]. 《山东大学学报(理学版)》, 2026, 61(4): 109-116.

YAN Shasha, LIU Hongjun, YAN Fang, XIA Ling. An equivalence characterization of uniform domains in metric spaces[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2026, 61(4): 109-116.

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度量空间中一致域的一个等价刻画

An equivalence characterization of uniform domains in metric spaces

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