双权变指标Herz-Morrey空间上的双线性Calderón-Zygmund算子的交换子  

Commutators of Bilinear Calderon-Zygmund Operators on two Weight Herz-Morrey Spaces with Variable Exponents

作　　者：王盛荣 郭鹏飞[1] 徐景实 WANG Shengrong;GUO Pengfei;XU Jingshi(School of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China;School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China)

机构地区：[1]海南师范大学数学与统计学院,海南海口571158 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《应用数学》2024年第2期337-358,共22页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (12061030,12161022);Hainan Provincial Natural Science Foundation of China (122RC652)。

摘　　要：利用Muckenhoupt权的性质、有界平均振荡函数的性质和Hardy-Littlewood极大算子在变指标Lebesgue空间上的有界性,本文得到了双线性Calderón-Zygmund算子和BMO函数生成的交换子在双权变指标Herz-Morrey空间乘积上的有界性.In this paper,by using the properties of Muckenhoupt weights and BMO functions and the boundedness of the Hardy-Littlewood maximal operator on weight variable Lebesgue spaces,we obtain the boundedness of commutators generated by bilinear Calderon-Zygmund operator and BMO functions on products of two weighted Herz-Morrey spaces with variable exponents.

关 键 词：CALDERÓN-ZYGMUND算子 Muckenhoupt权 变指标 HERZ-MORREY空间 

分 类 号：O174[理学—数学]