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

作     者：Xukui SHAO Shuangping TAO Xukui SHAO;Shuangping TAO

作者机构：School of Mathematics and StatisticsLongDong UniversityQingyang 745000GansuChina School of Mathematics and statisticsNorthwest Normal UniversityLanzhou 730070China Corresponding author.School of Mathematics and StatisticsNorthwest Normal UniversityLanzhou 730070China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2021年第42卷第3期

页      面：451-470页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11561062) Natural Science Foundation of Gansu Province(21JR1RM337) 

主　　题：Fractional integral Commutator Variable kernel Vanishing generalized weighted Morrey space with variable exponent BMO space 

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 *** the corresponding commutators generated by BMO function are also considered.