Two-weighted norm inequalities of singular integral operators on weighted Morrey spaces

被引：1

作者：

Ye, Xiao Feng ^{[1
]}

Wang, Teng Fei ^{[2
]}

机构：

[1] East China JiaoTong Univ, Dept Math & Informat Sci, Nanchang, Jiangxi, Peoples R China

[2] Chongqing Coll Humanities Sci & Technol, Dept Math, Chongqing, Peoples R China

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2017年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Weighted Morrey spaces; Hardy-Littlewood maximal operator; C-Z singular integral operator; local Luxemburg norm; A(p) weights; MAXIMAL-FUNCTION; HILBERT TRANSFORM; SHARP; 2-WEIGHT; COMMUTATORS; CONJECTURE;

D O I：

10.1515/gmj-2016-0035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that L-p,L- kappa (w) is a weighted Morrey space in R-n. We establish two-weighted norm inequalities onweightedMorrey spaces for Hilbert and Riesz transforms. Moreover, with the assumption p > n, the C-Z singular integral operator is also established for two-weighted norm inequalities on weighted Morrey spaces.

引用

页码：629 / 638

页数：10

共 24 条

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