加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (4): 719-724.

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加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性

朱敏, 陶双平

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2020-11-27 出版日期:2021-07-26 发布日期:2021-07-26
通讯作者: 陶双平 E-mail:taosp@nwnu.edu.cn

Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces

ZHU Min, TAO Shuangping

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2020-11-27 Online:2021-07-26 Published:2021-07-26

摘要/Abstract

摘要： 借助L^p空间上的估计, 利用A_p权不等式和函数分解方法, 给出多线性奇异积分和有界平均振荡(BMO)函数交换子的振荡及变分算子在加权Morrey空间上的有界性.

关键词: 加权Morrey空间, 多线性奇异积分, 振荡算子, 变分算子

Abstract: By means of the estimation on L^p space, and by using A_p weight inequality and function decomposition method, we gave the bounde
dness of the oscillation and variation operators for the commutators of the multilinear singlar integrals with bounded mean oscillation (BMO) functions on the weighted Morrey spaces.

Key words: weighted Morrey space, multilinear singular integral, oscillation operator, variation operator

中图分类号:

O174.2

朱敏, 陶双平. 加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性[J]. 吉林大学学报(理学版), 2021, 59(4): 719-724.

ZHU Min, TAO Shuangping. Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces[J]. Journal of Jilin University Science Edition, 2021, 59(4): 719-724.

加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性

Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces

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