THE MULTIDIMENSIONAL REVERSE HARDY INEQUALITIES

被引：0

作者：

Gogatishvili, A. ^{[1
]}

Mustafayev, R. Ch. ^{[1
,2
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Azerbaijan Acad Sci, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 01期

关键词：

Multidimensional Hardy operator; Hardy inequality; reverse Hardy inequality; discretization;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we characterize the validity of the multidimensional reverse Hardy inequalities parallel to gw parallel to(Lp(Rn)) <= C parallel to v(t) integral(cB(0,t)) g(y)dy parallel to(Lq(0,+infinity)) parallel to gw parallel to(Lp(Rn)) <= C parallel to v(t) integral(B(0,t)) g(y)dy parallel to(Lq(0,+infinity)) for non-negative measurable functions on R-n, where B(0,t) is the closed ball in R-n centered at zero with radius t, B-C(0,t) = R-n \ B(0,t), 0 < p <= 1, 0 < q <= +infinity, w and v are weight functions on R-n and (0,+infinity), respectively. Obtained conditions are the natural extensions of one-dimensional conditions.

引用

页码：1 / 14

页数：14

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