Littlewood-Paley g_λ~*函数与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性（英文）  

Commutators Generated by LittlewoodPaley g_λ~* Function and Local Campanato Functions on Generalized Local Morrey Spaces

作　　者：默会霞[1] 马瑞青 MO Huixia;MA Ruiqing(School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, P. R. China)

机构地区：[1]北京邮电大学理学院

出　　处：《数学进展》2019年第4期469-481,共13页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11601035)

摘　　要：本文主要研究了 Littlewood-Paley gλ^*函数及其与局部Campanato函数生成的交换子在广义局部Morrey空间LMp,φ^{x0}的有界性.In this paper, we obtain the boundedness of Littlewood-Paley gλ^* function on the generalized local Morrey space LMp,φ^{x0}as well as the boundedness of the commutators generated by Littlewood-Paley gλ^* function and local Campanato functions.

关 键 词：LITTLEWOOD-PALEY gλ^*函数 交换子 局部Campanato函数 广义局部Morrey空间 

分 类 号：O174.2[理学—数学]