变量核分数次极大交换子在变指标Morrey 空间上的有界性

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (4): 162-165.

变量核分数次极大交换子在变指标Morrey 空间上的有界性

杨旭升^*1, 王素萍²

1.兰州文理学院教育学院, 甘肃兰州 730000;
2.陇东学院数学与信息工程学院, 甘肃庆阳 745000

收稿日期:2022-04-26 出版日期:2023-08-28 发布日期:2023-08-29
通讯作者: 杨旭升(1981-),男,甘肃秦安人,讲师. Email:369772728@qq.com
基金资助:
国家自然科学基金(11561062),甘肃省自然科学基金(23JRRM730),甘肃省高等学校创新基金(2020B-255)

Boundedness of fractional maximal commutators with variable kernels on variable exponent morrey spaces

YANG Xu-sheng¹, WANG Su-ping²

1. School of Education, Lanzhou University of Arts and Science, Lanzhou 730000, China;
2. School of Mathematics and Information Engineering Statistics, Longdong University, Qingyang 745000, China

Received:2022-04-26 Online:2023-08-28 Published:2023-08-29

摘要/Abstract

摘要： 应用核函数Ω(x,z)的性质, 证明了由变量核分数次极大算子Μ_Ω,α与Lipschitz函数b生成的交换子Μ_Ω,α,b是变指标 Morrey空间M_p(·),u(Rⁿ)上的有界算子, 从而推广了以往非变量核的相关结果.

关键词: 分数次极大算子, 交换子, 变指标 Morrey 空间, 变量核

Abstract: By using the properties of kernel function Ω(x,z), it is proved that the commutators Μ_Ω,α,b generated by the fractional Maximal operator with variable kernel Μ_Ω,α and Lipschitz function b is a bounded operator on variable exponent Morrey spaceM_p(·),u(Rⁿ), which generalizes the previous results related to non-variable kernels.

Key words: fractional Maximal operator, commutators, variable exponent Morrey space, variable kernel

中图分类号:

O174.2

杨旭升, 王素萍. 变量核分数次极大交换子在变指标Morrey 空间上的有界性[J]. 兰州理工大学学报, 2023, 49(4): 162-165.

YANG Xu-sheng, WANG Su-ping. Boundedness of fractional maximal commutators with variable kernels on variable exponent morrey spaces[J]. Journal of Lanzhou University of Technology, 2023, 49(4): 162-165.

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