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 50 条

[41] Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
Qi, Jinyun
Yan, Xuefang
Li, Wenming
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[42] ROUGH SINGULAR INTEGRAL OPERATORS AND ITS COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES
Guliyev, Vagif S.
Hamzayev, Vugar H.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (03): : 863 - 881
[43] Multi linear Singular and Fractional Integral Operators on Generalized Weighted Morrey Spaces
Guliyev, V. S.
Omarova, M. N.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 104 - 132
[44] The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces
Zhang, Siyuan
Lin, Haibo
Lin, Yan
ANALYSIS IN THEORY AND APPLICATIONS, 2021, 37 (03): : 465 - 480
[45] Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces
N. M. Chuong
D. V. Duong
K. H. Dung
Mathematical Notes, 2019, 106 : 20 - 37
[46] WEIGHTED NORM INEQUALITIES FOR BOCHNER-RIESZ OPERATORS AND SINGULAR INTEGRAL-OPERATORS
SHI, XL
SUN, QY
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (03) : 665 - 673
[47] On weighted norm inequalities for oscillatory integral operators
Aksel Bergfeldt
Salvador Rodríguez-López
Wolfgang Staubach
Analysis and Mathematical Physics, 2022, 12
[48] On weighted norm inequalities for oscillatory integral operators
Bergfeldt, Aksel
Rodriguez-Lopez, Salvador
Staubach, Wolfgang
ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (06)
[49] Weighted norm inequalities for multilinear Calderon-Zygmund operators in generalized Morrey spaces
Wang, Panwang
Liu, Zongguang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[50] Singular Integral Equations in Generalized Weighted Morrey Spaces
Persson, Lars-Erik
Samko, Natasha
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 498 - +

← 1 2 3 4 5 →