广义变指标Morrey空间上的Marcinkiewicz积分的多线性交换子

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广义变指标Morrey空间上的Marcinkiewicz积分的多线性交换子
The Multilinear Commutator ofMarcinkiewicz Integral on Generalized Variable Exponent Morrey Spaces

DOI:10.12677/PM.2022.126111,PDF,HTML,下载: 314浏览: 507
作者:史鹏伟：西北师范大学，数学与统计学院，甘肃兰州
关键词:广义变指标Morrey空间；Marcinkiewicz积分；多线性交换子；BMO函数；Generalized Variable Exponent Morrey Spaces；Marcinkiewicz Integral；Multilinear Commutator；BMO Function

摘要:借助变指标Lebesgue空间上的有界性，利用函数分层分解和实变技巧，得到了Marcinkiewicz积分和BMO函数生成的多线性交换子在广义变指标Morrey空间上的有界性。

Abstract:With the help of the boundedness of the Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, the boundedness of Marcinkiewicz integral and its multilinear commutator generated by BMO function is obtained on generalized variable exponent Morrey spaces.

文章引用：史鹏伟. 广义变指标Morrey空间上的Marcinkiewicz积分的多线性交换子[J]. 理论数学, 2022, 12(6): 1011-1026. https://doi.org/10.12677/PM.2022.126111

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