分数次极大算子及交换子在加权Morrey空间上的有界性
Boundedness of Fractional Maximal Operator and its Commutator on Weighted Morrey Spaces
DOI: 10.12677/PM.2023.137214, PDF,   
作者: 刘占宏：西北师范大学数学与统计学院，甘肃 兰州
关键词: 加权Morrey空间；分数次极大算子；交换子；BMO函数；Weighted Morrey Space； Fractional Maximal Operator； Commutator； BMO Function
摘要: 利用调和分析的实变方法以及权不等式，证明了分数次极大算子在加权Morrey空间上的强有界性和弱有界性，并且得到了分数次极大算子与BMO函数生成的交换子的加权有界性。
Abstract: By applying the real variable methods of harmonic analysis and the weighted inequality, the strong and weak boundedness of the fractional maximal operator is proved on the weighted Morrey space, and the weighted boundedness of commutators generated by fractional maximal operators and BMO functions is obtained.
文章引用：刘占宏. 分数次极大算子及交换子在加权Morrey空间上的有界性[J]. 理论数学, 2023, 13(7): 2080-2092. https://doi.org/10.12677/PM.2023.137214

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