Bochner-Riesz算子的交换子在变指数Herz-Morrey空间的有界性  

Boundedness of Commutators of Bochner-Riesz Operators on Herz-Morrey Spaces with Variable Exponents

作　　者：杨丹 叶晓峰 余标 YANG Dan;YE Xiaofeng;YU Biao(School of Science,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]华东交通大学理学院,南昌330013

出　　处：《吉林大学学报（理学版）》2022年第6期1224-1230,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11661035)。

摘　　要：利用环状分解,先将Bochner-Riesz算子与变指数Lispchitz函数b(x)所生成的交换子分解为三部分,再借助变指数Lispchitz函数性质分别对其进行有界性估计,得到Bochner-Riesz算子的变指数Lispchitz交换子在变指数Herz-Morrey空间的有界性.By using the ring decomposition,the commutator generated by the Bochner-Riesz operator and variable exponential Lipschitz function b(x)was decomposed into three parts,and its boundedness was estimated by using the properties of Lipschitz function with variable exponent,and the boundedness of the commutator of Bochner-Riesz operator and variable exponential Lispchitz function on the Herz-Morrey space with variable exponent was obtained.

关 键 词：BOCHNER-RIESZ算子 变指数Herz-Morrey空间 变指数Lipschitz函数 交换子 

分 类 号：O174.2[理学—数学]