Lusin面积积分与局部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 LUSIN-AREA INTEGRAL AND LOCAL CAMPANATO FUNCTIONS ON GENERALIZED LOCAL MORREY SPACES

作　　者：默会霞[1] 马瑞青 王晓娟 MO Hui-xia;MA Rui-qing;WANG Xiao-juan(School of Science,Beijing University of Posts and Telecommunications,Beijing 100876;Chin)

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《数学杂志》2018年第3期381-391,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11601035)

摘　　要：本文研究了Lusin面积积分及其交换子在广义局部Morrey空间的有界性.利用对Lusin面积积分μ_(?,S)的逐点估计及Hardy不等式,研究了Lusin面积积分μ_(?,S)在广义局部Morrey空间的有界性.类似地,还得到了Lusin面积积分μ_(?,S)与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性,推广了已有的结果.In the paper, the boundedness of the Lusin-area integral and its commutator on the generalized local Morrey spaces are established. Using the pointwise estimate of Lusin-area integral μΩ,S and Hardy inequality, we study the boundedness of the Lusin-area integral μΩ,S on the generalized local Morrey spaces, as well as the boundedness of the commutators generated by μΩ,S and local Campanato functions, which extend the previous results.

关 键 词：Lusin面积积分 交换子 局部Campanato函数 广义局部Morrey空间 

分 类 号：O174.2[理学—数学]