广义齐型Morrey空间上分数次极大算子及其交换子的有界性  

Boundedness of Fractional Maximal Operator and Its Commutator on Generalized Homogeneous Morrey Spaces

作　　者：刘铭 逯光辉 LIU Ming;LU Guanghui(School of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,China;College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]青海民族大学数学与统计学院,西宁810007 [2]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2022年第6期1239-1250,共12页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12161071)。

摘　　要：利用函数分解方法讨论分数次极大算子及其交换子在广义齐型Morrey空间上的有界性,得到了分数次极大算子及其交换子在广义齐型Morrey空间上有界的充分条件和必要条件,从而将分数次极大算子在广义Morrey空间上的一些特征推广到广义齐型Morrey空间上.The problem of the boundedness of fractional maximal operator and its commutator on generalized homogeneous Morrey spaces was solved by using function decomposition method,and the sufficient and necessary conditions for the boundedness of fractional maximal operator and its commutator on generalized homogeneous Morrey spaces were obtained.So some characteristics of fractional maximal operator on generalized Morrey spaces were generalized to generalized homogeneous Morrey spaces.

关 键 词：广义齐型Morrey空间 分数次极大算子 交换子 

分 类 号：O174.2[理学—数学]