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

山东大学学报(理学版) ›› 2026, Vol. 61 ›› Issue (4) : 109 -116.

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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

度量空间中一致域的一个等价刻画

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An equivalence characterization of uniform domains in metric spaces

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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。

Abstract

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

关键词

一致域 / John域 / 条件A(δ) / (α,β)类 / 度量空间

Key words

uniform domain / John domain / condition A(δ) / type(α,β) / metric space

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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 DOI:10.6040/j.issn.1671-9352.0.2024.140

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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)

贵州省科学技术基金资助项目(黔科合基础-ZK[2021]一般001)

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