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

页码：59 / 78

页数：20

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