内蕴平方函数在 Morrey-Adams 空间上的有界性
Boundedness of Intrinsic Square Functions on Morrey-Adams Spaces
DOI: 10.12677/PM.2023.137223, PDF, 下载: 119  浏览: 566 
作者: 朱小杰:西北师范大学数学与统计学院,甘肃 兰州
关键词: 内蕴平方函数Morrev-Adams 空间交换子Intrinsic Square Functions Morrey-Adams Space Commutator
摘要: 借助Lebesgue 空间上的有界性,利用函数分解方法和实变技巧,证明了内蕴平方函数在 MorreyAdams 空间上的有界性,同时也给出了 BMO 交换子的相应结果。
Abstract: With the help of the boundedness of the Lebesgue spaces, by applying the decom-position of function and real variable techniques, the boundedness of intrinsic square functions is obtained on Morrey-Adams spaces. Meanwhile, the corresponding result of its commutator with BMO functions is also given.
文章引用:朱小杰. 内蕴平方函数在 Morrey-Adams 空间上的有界性[J]. 理论数学, 2023, 13(7): 2155-2168. https://doi.org/10.12677/PM.2023.137223

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