次线性算子的多线性交换子在变指标Herz型空间的有界性  

Boundedness of mulitilinear commutators for sublinear operators on the Herz type spaces with variable exponent

作　　者：张婧 程鑫 张婉婧 ZHANG Jing;CHENG Xin;ZHANG Wan-jing(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,Xinjiang,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《西北师范大学学报（自然科学版）》2023年第5期1-8,18,共9页Journal of Northwest Normal University(Natural Science)

基　　金：新疆维吾尔自治区自然科学基金资助项目(2021D01C463);伊犁师范大学“学实高层次人才岗位”资助项目(YSXSJS22001)。

摘　　要：研究满足一定尺寸条件的次线性算子与BMO函数生成的多线性交换子在变指标Herz型空间上的有界性.利用函数分解、原子分解方法及变指标函数空间的性质,得到了次线性算子的多线性交换子在变指标Herz-Morrey空间的加权有界性以及在变指标Herz-Hardy空间上的有界性.The boundedness of the mulitilinear commutators generated by sublinear operators with size conditions and BMO functions on Herz type spaces with variable exponent is studied.The weighted boundedness of mulitilinear commutators for sublinear operators on Herz-Morrey with variable exponent and the boundedness for Herz-Hardy spaces with variable exponent are established by using the methods of function decomposition,atomic decomposition,and the properties of variable exponent function space.

关 键 词：次线性算子 多线性交换子 加权变指标Herz-Morrey空间 变指标Herz-Hardy空间 

分 类 号：O174.2[理学—数学]