一些算子的交换子在广义Morrey空间上的紧性

郭庆栋, 周疆

数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 367-380.

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数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 367-380. DOI: 10.12386/A2020sxxb0031
论文

一些算子的交换子在广义Morrey空间上的紧性

    郭庆栋, 周疆
作者信息 +

Compactness of Commutators for Some Operators on Generalized Morrey Spaces

    Qing Dong GUO, Jiang ZHOU
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文章历史 +

摘要

本文主要研究分数次积分算子、Marcinkiewicz积分、带光滑核的pseudo-differential算子的交换子在广义Morrey空间Mp,ω(Rn)上的紧性.注意它们的处理方法分别不同.

Abstract

We dedicate to study the compactness of commutators for fractional integral operators, Marcinkiewicz integrals and pseudo-differential operators with smooth symbols on the generalized Morrey spaces Mp,ω(Rn). Notice the differences of dealing method respectively.

关键词

紧性 / 交换子 / 广义Morrey空间

Key words

compactness / commutators / generalized Morrey spaces

引用本文

导出引用
郭庆栋, 周疆. 一些算子的交换子在广义Morrey空间上的紧性. 数学学报, 2020, 63(4): 367-380 https://doi.org/10.12386/A2020sxxb0031
Qing Dong GUO, Jiang ZHOU. Compactness of Commutators for Some Operators on Generalized Morrey Spaces. Acta Mathematica Sinica, Chinese Series, 2020, 63(4): 367-380 https://doi.org/10.12386/A2020sxxb0031

参考文献

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基金

国家自然科学基金资助项目(11661075,11826202)

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