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
收藏
页码：629 / 638
页数：10
相关论文
共 50 条
12345