变指标分数次Hardy算子高阶交换子在变指数HerzMorrey空间的加权有界性

吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (4): 791-797.

变指标分数次Hardy算子高阶交换子在变指数HerzMorrey空间的加权有界性

辛银萍

兰州财经大学信息工程学院, 兰州 730010

收稿日期:2019-11-14 出版日期:2020-07-26 发布日期:2020-07-16
通讯作者: 辛银萍 E-mail:xinyp1987@163.com

Boundedness of Higher Order Commutators ofFractional Hardy Operators with Variable Index onHerzMorrey Spaces with Variable Exponent#br#

XIN Yinping

School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730010, China

Received:2019-11-14 Online:2020-07-26 Published:2020-07-16
Contact: XIN Yinping E-mail:xinyp1987@163.com

摘要/Abstract

摘要： 用函数分层分解和权不等式等工具, 借助Hardy算子在变指标Lebesgue空间的性质与有界平均振荡函数空间(BMO)函数的性质, 给出变指标分数次Hardy算子与BMO函数生成的高阶交换子在变指数HerzMorrey空间上的加权有界性.

关键词: 变指标, 分数次Hardy算子, Ap(·)权, BMO函数, HerzMorrey空间

Abstract: By using hierarchical decomposition of function and the weighted inequalities, and by means of the boundedness of Hardy operator on variable Lebesgue spaces and the properties of bounded mean oscillation function space (BMO) functions, the author gave the boundedness of the higher order commutators generated by fractional Hardy operators with variable index and BMO functions on weighted HerzMorrey spaces with variable exponent.

Key words: variable index, fractional Hardy operator, Ap(·) weight, BMO functions, HerzMorrey space

中图分类号:

O174.2

辛银萍. 变指标分数次Hardy算子高阶交换子在变指数HerzMorrey空间的加权有界性[J]. 吉林大学学报(理学版), 2020, 58(4): 791-797.

XIN Yinping. Boundedness of Higher Order Commutators ofFractional Hardy Operators with Variable Index onHerzMorrey Spaces with Variable Exponent#br#[J]. Journal of Jilin University Science Edition, 2020, 58(4): 791-797.

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