Capacitary density and removable sets for Newton-Sobolev functions in metric spaces

被引：0
|
作者：
Lahti, Panu [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 05期
关键词：
30L99; 46E36; 31C40; BOUNDED VARIATION; FINITE PERIMETER; INEQUALITY;
D O I：
10.1007/s00526-023-02494-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a complete metric space equipped with a doubling measure and supporting a (1, 1)-Poincare inequality, we show that every set satisfying a suitable capacitary density condition is removable for Newton-Sobolev functions.
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收藏
页数：20
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