RD空间上分数次积分算子及其交换子在广义Morrey空间的加权有界性  

Weighted Boundedness of Fractional Integral Operators and Its Commutator on Generalized Morrey Spaces over RD-Spaces

作　　者：方光杰 陶双平 FANG Guangjie;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6期1287-1295,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12201500)。

摘　　要：利用H9lder不等式和权函数的相关性质,给出RD(reverse doubling condition)空间上的分数次积分算子及BMO交换子在广义加权Morrey空间上的有界性,并给出相应的端点估计.By using Holder’s inequality and the related properties of weighted functions,we gave the boundedness of fractional integral operators and BMO commutator on generalized weighted Morrey spaces over RD(reverse doubling condition)-spaces,and gave the corresponding endpoint estimates.

关 键 词：分数次积分算子 交换子 广义加权Morrey空间 RD空间 

分 类 号：O174.2[理学—数学]