Hardy's inequalities for Sobolev functions

被引：0

作者：

Kinnunen, J ^{[1
]}

Martio, O ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland

来源：

MATHEMATICAL RESEARCH LETTERS | 1997年 / 4卷 / 04期

关键词：

maximal function; Sobolev spaces; holder continuity; capacity; Hardy inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fractional maximal function of the gradient gives a pointwise interpretation of Hardy's inequality for functions u is an element of W-0(1,p)(Omega). With mild assumptions on Omega Hardy's inequality holds for a function u is an element of W-1,W-p(Omega) if and only if u is an element of W-0(1,p)(Omega).

引用

页码：489 / 500

页数：12

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