带变量核的分数次积分算子与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性（英文）  

Boundedness of Commutators Generated by Fractional Integral Operators With Variable Kernel and Local Campanato Functions on Generalized Local Morrey Spaces

作　　者：默会霞[1] 薛红旸 

机构地区：[1]北京邮电大学理学院

出　　处：《数学进展》2017年第5期755-764,共10页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11601035,No.11471050)

摘　　要：设T_(Ω,a)是带变量核的分数次积分算子.本文证明了T_(Ω,α)在广义局部Morrey空间LM_(p,φ)~{x_0}的有界性,进一步还考虑了由T_(Ω,α)与局部Campanato函数生成的多线性交换子在广义局部Morrey空间的有界性.Suppose that TΩ,α is the fractional integral operator with variable kernel. We prove the boundedness for TΩ,α on the generalized local Morrey spaces LMp{x0}. The multilinear commutators generated by T~,~ and local Campanato functions are also considered.

关 键 词：分数次积分 变量核 交换子 局部Campanato函数 广义局部Morrey空间 

分 类 号：O174.2[理学—数学]