%0 Journal Article %T 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<br>COMMUTATORS GENERATED BY LUSIN-AREA INTEGRAL AND LOCAL CAMPANATO FUNCTIONS ON GENERALIZED LOCAL MORREY SPACES %A 作者 %A 默会霞 %A 马瑞青 %A 王晓娟 %J 数学杂志 %D 2018 %X 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μΩ,S的逐点估计及Hardy不等式,研究了Lusin面积积分μΩ,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μΩ,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.<br>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 %K Lusin面积积分 交换子 局部Campanato函数 广义局部Morrey空间< %K br> %K Lusin-area integral commutator local Campanato function generalized local Morrey space %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180301&flag=1