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

共 14 条

[1] WEIGHTED INEQUALITIES FOR THE STIELTJES TRANSFORMATION AND HILBERT DOUBLE SERIES [J].

ANDERSEN, KF .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1980, 86 :75-84

[2]

[Anonymous], 1985, SOBOLEV INEQUALITIES

[3]

EVANS W. D., 2009, INT SER NUMER MATH, V157, P121

[4] Characterisation of embeddings in Lorentz spaces [J].

Gogatishvili, A. ;

Johansson, M. ;

Okpoti, C. A. ;

Persson, L.-E. .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (01) :69-92

[5] Embeddings and duality theorems for weak classical Lorentz spaces [J].

Gogatishvili, A ;

Pick, L .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2006, 49 (01) :82-95

[6] Discretization and anti-discretization of rearrangement-invariant norms [J].

Gogatishvili, A ;

Pick, L .

PUBLICACIONS MATEMATIQUES, 2003, 47 (02) :311-358

[7]

Gogatishvili A, 2002, P AUT C MATH SOC JAP, P63

[8]

Gogatishvili A, 2006, COLLECT MATH, V57, P227

[9]

Opic B., 1990, PITMAN RES NOTES MAT, V219

[10]

Persson L.E., 2003, WEIGHTED INEQUALITIE

← 1 2 →