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
来源：
ANNALES POLONICI MATHEMATICI | 2016年 / 117卷 / 01期
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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