多线性Marcinkiewicz高阶交换子在变指数Herz-Morrey空间上的有界性  

Boundedness of Higher Order Commutator of Multilinear Marcinkiewicz on Herz-Morrey Space with Variable Exponent

作　　者：韩晶 叶晓峰 HAN Jing;YE Xiaofeng(School of Science,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]华东交通大学理学院,江西南昌330013

出　　处：《河南科技大学学报（自然科学版）》2021年第1期87-94,99,I0006,I0007,共11页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11661035)。

摘　　要：利用特征函数和空间分解原理对算子进行了估计。当指数满足p/n--n+α<0,nγi-αi<0时,证明了多线性Marcinkiewicz算子与有界平均振动(BMO)函数生成的高阶交换子在变指数Herz-Morrey空间上的有界性。该结果也是经典Marcinkiewicz交换子在变指数Herz-Morrey空间上的推广。The characteristic function and the spatial decomposition principle were used to estimate operators.When the exponent satisfies p/n--n+α<0,nγi-αi<0,the boundedness of the high order commutator generated by multilinear Marcinkiewicz operator and bounded mean oscillation (BMO) function on Herz-Morrey space with variable exponent is proved. The results are also generalizations of the classical Marcinkiewicz commutator on Herz-Morrey space with variable exponent.

关 键 词：多线性Marcinkiewicz算子 高阶交换子 BMO函数 变指数Herz-Morrey空间 

分 类 号：O174.2[理学—基础数学]