多线性Marcinkiewicz算子在变指数Herz-Morrey空间上的有界性

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (2): 156-162.

多线性Marcinkiewicz算子在变指数Herz-Morrey空间上的有界性

叶晓峰^*, 韩晶

华东交通大学理学院, 江西南昌 330013

收稿日期:2019-12-03 出版日期:2021-04-28 发布日期:2021-05-11
通讯作者: 叶晓峰(1980-),男,安徽歙县人,博士,副教授.Email:xiaofye@163.com
基金资助:
国家自然科学基金(11661035)

The boundedness of multilinear Marcinkiewicz operator in variable index Herz-Morrey space

YE Xiao-feng, HAN Jing

School of Science, East China Jiaotong University, Nanchang 330013, China

Received:2019-12-03 Online:2021-04-28 Published:2021-05-11

摘要/Abstract

摘要： 研究了多线性Marcinkiewicz算子在变指数Herz-Morrey空间上的有界性,也是经典Marcinkiewicz算子在变指数Herz-Morrey空间上的推广.使用特征函数和空间分解原理,将算子分为4个部分,核函数所满足的尺寸条件,对算子进行估计,得到算子在变指数Herz-Morrey空间上的有界性.

关键词: 变指数Herz-Morrey空间, 多线性Marcinkiewicz算子, 有界性

Abstract: The boundedness of multilinear Marcinkiewicz operators with variable kernels was studied on variable index Herz-Morrey spaces, which is also the generalization of classical Marcinkiewicz operators on variable index Herz-Morrey spaces. By using the eigenfunction and the space decomposition principle, the operator is divided into four parts in this paper, and then the operator is estimated one by one by using the size condition satisfied by the kernel functions. The boundedness of the operator on the variable index Herz-Morrey space is therefore obtained.

Key words: variable exponential Herz-Morrey space, multilinear Marcinkiewicz operator, boundedness

中图分类号:

O174.2

叶晓峰, 韩晶. 多线性Marcinkiewicz算子在变指数Herz-Morrey空间上的有界性[J]. 兰州理工大学学报, 2021, 47(2): 156-162.

YE Xiao-feng, HAN Jing. The boundedness of multilinear Marcinkiewicz operator in variable index Herz-Morrey space[J]. Journal of Lanzhou University of Technology, 2021, 47(2): 156-162.

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