多线性 Calderón-Zygmund 算子的交换子在广义 Morrey 空间上的紧性

数学物理学报 ›› 2024, Vol. 44 ›› Issue (2): 286-297.

多线性 Calderón-Zygmund 算子的交换子在广义 Morrey 空间上的紧性

库福立()

三明学院信息工程学院福建三明 365004

收稿日期:2022-12-14 修回日期:2023-09-27 出版日期:2024-04-26 发布日期:2024-04-07
作者简介:库福立,Email:kfl20180325@163.com
基金资助:
国家自然科学基金(12171399);国家自然科学基金(11871101);三明学院引进高层次人才科研启动经费(23YG09);福建省教育厅重点项目(JZ230054)

Compact Commutators of $m$-Linear Calderón-Zygmund Operators on Generalized Morrey Spaces

Ku Fuli()

School of Information Engineering, Sanming University, Fujian Sanming 365004

Received:2022-12-14 Revised:2023-09-27 Online:2024-04-26 Published:2024-04-07
Supported by:
NSFC(12171399);NSFC(11871101);Scientific Research Start-up Fund Project for Introducing High-Ievel Talents From Sanming University(23YG09);Key project of Fujian Provincial Education Department(JZ230054)

摘要/Abstract

摘要：

该文研究了多线性 $ \omega$ 型 Calderón-Zygmund 算子与带变量增长条件的广义 Campanato 空间函数 $ \vec{b}$ 生成的交换子 $ [\vec{b},T]$ 在广义 Morrey 空间的紧性, 给出了 $ [\vec{b},T]$ 是从广义 Morrey 空间的乘积空间到广义 Morrey 空间的紧算子的充分条件.

关键词: 多线性 Calderón-Zygmund 算子, 交换子, Campanato 空间, 广义 Morrey 空间, 紧性

Abstract:

In this paper, the compactness of commutator $[\vec{b},T]$ generated by the $m$-linear $\omega$-type C-Z operator and generalized Campanato space function $\vec{b}$ with variable growth conditions on generalized Morrey space is studied. A sufficient condition for the compactness of commutator $[\vec{b},T ]$ is obtained on the generalized Morrey space.

Key words: Multilinear Calderón-Zygmund operator, Commutator, Campanato spaces, Generalized Morrey spaces, Compactness

中图分类号:

O174.2

库福立. 多线性 Calderón-Zygmund 算子的交换子在广义 Morrey 空间上的紧性[J]. 数学物理学报, 2024, 44(2): 286-297.

Ku Fuli. Compact Commutators of $m$-Linear Calderón-Zygmund Operators on Generalized Morrey Spaces[J]. Acta mathematica scientia,Series A, 2024, 44(2): 286-297.

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