粗糙核Marcinkiewicz积分在Morrey-Adams空间上的有界性  

Boundedness of Marcinkiewicz Integral with Rough Kernel on Morrey-Adams Spaces

作　　者：朱小杰 陶双平 ZHU Xiaojie;TAO Shuangping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2023年第5期999-1006,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12201500).

摘　　要：借助Lebesgue空间上的有界性,利用函数分解方法和实变技巧,证明粗糙核Marcinkiewicz积分在Morrey-Adams空间上的有界性,并给出Lipschitz函数和BMO函数交换子的相应结果.With the help of the boundedness of the Lebesgue spaces,by applying the decomposition method of function and real variable techniques,the boundedness of Marcinkiewicz integral with rough kernel was proved on Morrey-Adams spaces.Meanwhile,the corresponding result of its commutator with Lipschitz and BMO functions was given.

关 键 词：MARCINKIEWICZ积分 Morrey-Adams空间 交换子 粗糙核 

分 类 号：O174.2[理学—数学]