内蕴平方函数在分数次Morrey空间上的加权有界性  

Weighted Boundedness of Intrinsic Square Functions on Fractional Morrey Spaces

作　　者：李瑞 陶双平 LI Rui;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）》2020年第4期782-790,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11561062).

摘　　要：利用A_p权估计和函数分解方法,借助L^p空间上的加权估计,证明内蕴平方函数、内蕴Littlewood-Paley g和g^*λ函数在广义分数次Morrey空间上的加权有界性,并给出相应BMO交换子的加权有界性.By using the weight estimation of A p and the function decompositions method,and by means of the weighted estimation on the L^p spaces,we proved the weighted boundedness of the intrinsic square functions,intrinsic Littlewood-Paley g and gλ^* functions on the generalized fractional Morrey spaces,and gave the weighted boundedness of the corresponding BMO commutators.

关 键 词：内蕴平方函数 交换子 广义分数次Morrey空间 加权有界性 

分 类 号：O174.2[理学—数学]