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
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