Some New Iterated Hardy-Type Inequalities

被引：32

作者：

Gogatishvili, A. ^{[2
]}

Mustafayev, R. Ch ^{[3
,4
]}

Persson, L-E ^{[1
,5
]}

机构：

[1] Lulea Univ Technol, Dept Math, S-97187 Lulea, Sweden

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

[3] Azerbaijan Acad Sci, Inst Math & Mech, Baku 1141, Azerbaijan

[4] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[5] Narvik Univ Coll, N-8505 Narvik, Norway

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

WEIGHTED INEQUALITIES; EMBEDDINGS;

D O I：

10.1155/2012/734194

中图分类号：

学科分类号：

摘要：

We characterize the validity of the Hardy-type inequality parallel to parallel to integral(infinity)(s) h(z)dz parallel to(p,u,(0,t)) parallel to(q,w,(0,infinity)) <= c parallel to h parallel to(theta,v(0,infinity)), where 0 < p < infinity, 0 < q <= infinity, 1 < theta = infinity, u, w, and v are weight functions on (0,infinity). Some fairly new discretizing and antidiscretizing techniques of independent interest are used.

引用

页数：30

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