Norm Inequalities in Generalized Morrey Spaces

被引：18

作者：

Feuto, Justin ^{[1
]}

机构：

[1] Univ Felix Houphouet Boigny Cocody, Lab Math Fondamentales, UFR Math & Informat, Abidjan 22, Cote Ivoire

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2014年 / 20卷 / 04期

关键词：

Calderon-Zygmund operators; Marcinkiewicz operators; Bochner-Riesz operators; Weighted Morrey spaces; Commutators; BMO space; BOUNDEDNESS;

D O I：

10.1007/s00041-014-9337-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that Caldern-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function spaces.

引用

页码：896 / 909

页数：14

共 18 条

[11] GRAFAKOS L, 2008, CLASSICAL MODERN FOU
[12] ON FUNCTIONS OF BOUNDED MEAN OSCILLATION
JOHN, F
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1961, 14 (03) : 415 - &
[13] Weighted Morrey spaces and a singular integral operator
Komori, Yasuo
Shirai, Satoru
[J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (02) : 219 - 231
[14] Segovia C., 1991, Publ. Mat., V35, P209
[15] SHI XL, 1992, P AM MATH SOC, V116, P665
[16] Weighted weak type (1,1) bounds for rough operators
Vargas, AM
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 54 : 297 - 310
[17] [王华 Wang Hua], 2012, [数学学报, Acta Mathematica Sinica], V55, P589
[18] [王华 Wang Hua], 2012, [数学学报, Acta Mathematica Sinica], V55, P551

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