A geometrical version of Hardy's inequality

被引：66

作者：

Hoffmann-Ostenhof, M ^{[1
]}

Hoffmann-Ostenhof, T

Laptev, A

机构：

[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria

[2] Univ Vienna, Inst Theoret Chem, A-1090 Vienna, Austria

[3] Int Erwin Schrodinger Inst Math Phys, Vienna, Austria

[4] KTH, Dept Math, S-10044 Stockholm, Sweden

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2002年 / 189卷 / 02期

基金：

奥地利科学基金会;

关键词：

D O I：

10.1006/jfan.2001.3859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a version of Hardy's type inequality in a domain Omega subset of R-n which involves the distance to the boundary and the volume of Omega. In particular, we obtain a result which gives a positive answer to a question asked by H. Brezis and M. Marcus. (C) 2002 Elsevier Science (USA).

引用

页码：539 / 548

页数：10

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