分数次极大算子及交换子在Morrey空间上的加权估计  

Weighted estimates of fractional maximal operator and its commutator on Morrey spaces

作　　者：刘占宏 陶双平 LIU Zhanhong;TAO Shuangping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2024年第6期108-115,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12201500)。

摘　　要：利用权不等式以及调和分析的实变方法,证明粗糙核分数次极大算子在加权Morrey空间上的有界性,并且得到粗糙核分数次极大算子与BMO函数生成的交换子的加权有界性。By applying the weighted inequality and the real variable methods of harmonic analysis,the boundedness of the fractional maximal operator with rough kernel is proved on the weighted Morrey space.Meanwhile,the weighted boundedness of its commutator generated by BMO function is also obtained.

关 键 词：加权Morrey空间 分数次极大算子 交换子 BMO函数 

分 类 号：O174.2[理学—数学]