CALDERON-ZYGMUND OPERATORS WITH KERNELS OF DINI'S TYPE AND THEIR MULTILINEAR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES

被引:0
作者
Guliyev, V. S. [1 ,2 ,3 ]
Ismayilova, A. F. [4 ]
机构
[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan
[2] Dumlupinar Univ, Dept Math, Kutahya, Turkey
[3] Peoples Friendship Univ Russia, RUDN Univ, Moscow, Russia
[4] Azerbaijan Univ Cooperat, Baku, Azerbaijan
来源
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 12卷 / 02期
基金
俄罗斯基础研究基金会;
关键词
generalized weighted Morrey spaces; Calderon-Zygmund operator; Ap weights; commutator; BMO; MAXIMAL OPERATOR; INEQUALITIES;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the boundedness of the operators T and T-(b) over right arrow on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w belonging to Muckenhoupt's class A(p)(R-n). We find the sufficient conditions on the pair ((phi(1), (phi(2)) with (b) over right arrow is an element of BMOm(R-n) and w is an element of A(p)(R-n) which ensures the boundedness of the operators T and T-(b) over right arrow from M-p,M-phi 1(w) to M-p,M-phi 2(w) for 1 < p < infinity.
引用
收藏
页码:265 / 277
页数:13
相关论文
共 35 条
[21]  
Lin Y, 2008, JORDAN J MATH STAT, V1, P31
[22]  
Liu Z., 2002, Kodai Math. J., V25, P79
[23]  
Mizuhara T., 1991, Harmonic Analysis, V0, P183
[24]   On the solutions of quasi-linear elliptic partial differential equations [J].
Morrey, Charles B., Jr. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1938, 43 (1-3) :126-166
[25]   WEIGHTED NORM INEQUALITIES FOR HARDY MAXIMAL FUNCTION [J].
MUCKENHOUPT, B .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) :207-+
[26]   HARDY-LITTLEWOOD MAXIMAL OPERATOR, SINGULAR INTEGRAL-OPERATORS AND THE RIESZ-POTENTIALS ON GENERALIZED MORREY SPACES [J].
NAKAI, E .
MATHEMATISCHE NACHRICHTEN, 1994, 166 :95-103
[27]   Generalized weighted Morrey spaces and classical operators [J].
Nakamura, Shohei .
MATHEMATISCHE NACHRICHTEN, 2016, 289 (17-18) :2235-2262
[28]  
Quek T, 2000, ACTA MATH SIN, V16, P141
[29]   Embeddings for Morrey-Lorentz Spaces [J].
Ragusa, Maria Alessandra .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 154 (02) :491-499
[30]   A THOUGHT ON GENERALIZED MORREY SPACES [J].
Sawano, Yoshihiro .
JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2019, 25 (03) :210-281