Weighted Estimates of Variable Kernel Fractional Integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent

被引：2
作者：
Shao, Xukui [1 ,2 ]
Tao, Shuangping [2 ]
机构：
[1] LongDong Univ, Sch Math & Stat, Qingyang 745000, Gansu, Peoples R China
[2] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2021年 / 42卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional integral; Commutator; Variable kernel; Vanishing generalized weighted Morrey space with variable exponent; BMO space; NORM INEQUALITIES; LEBESGUE SPACES; OPERATORS; BOUNDEDNESS;
D O I：
10.1007/s11401-021-0268-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces. And the corresponding commutators generated by BMO function are also considered.
引用
收藏
页码：451 / 470
页数：20
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