The Besov capacity in metric spaces

被引:10
作者
Nuutinen, Juho [1 ]
机构
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland
基金
芬兰科学院;
关键词
Besov spaces; capacity; metric spaces; TRIEBEL-LIZORKIN SPACES; SOBOLEV SPACES; EXTENSION;
D O I
10.4064/ap3843-4-2016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study a capacity theory based on a definition of Hajlasz Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are gamma-medians, for which we also prove a new version of a Poincare type inequality.
引用
收藏
页码:59 / 78
页数:20
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