Capacities and Hausdorff measures on metric spaces

被引：4

作者：

Karak, Nijjwal ^{[1
]}

Koskela, Pekka ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

来源：

REVISTA MATEMATICA COMPLUTENSE | 2015年 / 28卷 / 03期

基金：

芬兰科学院;

关键词：

Capacity; Generalized Hausdorff measure; Poincare inequality; SOBOLEV SPACES;

D O I：

10.1007/s13163-015-0174-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we show that in a Q-doubling space , that supports a Q-Poincar, inequality and satisfies a chain condition, sets of Q-capacity zero have generalized Hausdorff h-measure zero for h(t) = log(1-Q-epsilon) (1/t).

引用

页码：733 / 740

页数：8

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