Sharp Besov capacity estimates for annuli in metric spaces with doubling measures

被引：0

作者：

Bjorn, Anders ^{[1
]}

Bjorn, Jana ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 305卷 / 03期

关键词：

Annulus; Besov space; Condenser capacity; Doubling measure; Fractional Sobolev space; Metric space; Norm-capacity; Pointwise dimension; Uniformly perfect; Sobolev-Slobodetskii space;

D O I：

10.1007/s00209-023-03360-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain precise estimates, in terms of the measure of balls, for the Besov capacity of annuli and singletons in complete metric spaces. The spaces are only assumed to be uniformly perfect with respect to the centre of the annuli and equipped with a doubling measure.

引用

页数：26

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