On modular inequalities in variable LP spaces

被引：22

作者：

Lerner, AK ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

ARCHIV DER MATHEMATIK | 2005年 / 85卷 / 06期

关键词：

D O I：

10.1007/s00013-005-1302-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Hardy-Littlewood maximal operator and a class of Calderon-Zygmund singular integrals satisfy the strong type modular inequality in variable L-P spaces if and only if the variable exponent p(x) similar to const.

引用

页码：538 / 543

页数：6

共 13 条

[1]

[Anonymous], HARMONIC ANAL

[2]

Cruz-Uribe D, 2004, ANN ACAD SCI FENN-M, V29, P247

[3]

Diening L, 2004, MATH INEQUAL APPL, V7, P245

[4]

Diening L, 2003, J REINE ANGEW MATH, V563, P197

[5]

DIENING L, 2003, 21 A LUDW U FREIB FA

[6]

Gallardo D., 1988, PUBL MAT, V32, P261, DOI [DOI 10.5565/PUBLMAT_32288_09, 10.5565/PUBLMAT3228809]

[7]

GARCIACUERVA J, 1985, N HOLLAND MATH STUDI, V116

[8] A DESCRIPTION OF WEIGHTS SATISFYING THE A-INFINITY CONDITION OF MUCKENHOUPT [J].

HRUSCEV, SV .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 90 (02) :253-257

[9] Commutators of singular integrals on generalized LP spaces with variable exponent [J].

Karlovich, AY ;

Lerner, AK .

PUBLICACIONS MATEMATIQUES, 2005, 49 (01) :111-125

[10]

Musielak J., 1983, LNM, V1034

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