A fractional order Hardy inequality

被引：94

作者：

Dyda, B ^{[1
]}

机构：

[1] Wroclaw Univ Technol, PL-50370 Wroclaw, Poland

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2004年 / 48卷 / 02期

关键词：

D O I：

10.1215/ijm/1258138400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the following integral inequality: integral(D) \u(x)\(P)/dist(x, D-c)(alpha) dx less than or equal to c integral(D)integral(D) \u(x)-u(y)\(p)/\x-y\(d+x) dxdy, uis an element ofCc(D), where alpha, p> 0 and D subset of R-d is a Lipschitz domain or its complement or a complement of a point.

引用

页码：575 / 588

页数：14

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