p-Adic函数空间上Hardy型算子的多线性交换子估计  

Estimates for Multilinear Commutators of Hardy-type Operators on p-Adic Function Spaces

作　　者：宋帆 李亮[1] SONG Fan;LI Liang(School of Mathematics and Statistics,YiLi Normal University,Yining 835000,China)

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《数学的实践与认识》2021年第1期230-238,共9页Mathematics in Practice and Theory

基　　金：新疆自然科学基金(2012211B28);国家自然科学基金(11261055)。

摘　　要：在p-adic域上研究分数次Hardy型算子与CMO(Q_p~n)函数生成的多线性交换子,建立了交换子在Lebesgue空间和Herz空间上的有界性.对Hardy算子的多线性交换子也得到了相应的结果.In this paper,the multilinear commutator generated by fractional Hardy operator and CMO(Q_p~n)function are studied.The authors established their boundedness on the Lebesgue space and Herz space over p-adic field.Furthermore,the similar results for the commutator of Hardy operator are also considered.

关 键 词：分数次Hardy算子 p-adic空间 多线性交换子 CMO(Q_p~n)函数 

分 类 号：O177[理学—数学]