多线性Calderón-Zygmund算子交换子在加权Herz-Morrey空间中的有界性（英文）  

ON THE BOUNDEDNESS OF COMMUTATORS OF MULTILINEAR CALDERó-ZYGMUND OPERATORS ON WEIGHTED HERZ-MORREY SPACE

作　　者：张慧慧[1] 陶祥兴[2] 喻晓[1] 

机构地区：[1]上饶师范学院数学系,上饶334001 [2]浙江科技学院数学系,杭州310023

出　　处：《南京大学学报（数学半年刊）》2013年第2期125-134,共10页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by NSFC under grant#11171306,#11226104;the Science Foundation of Jiangxi Education Department under grant#GJJ13703;the Scientific Research project of Shangrao Normal University under grant#201201

摘　　要：本文,作者研究了由向量值函数ーb生成的多线性Calderon-Zygmund交换子,其中ーb∈ーBMO(R^n).我们得到了两类多线性交换子在加权Herz-Morrey空间中的有界性.我们的研究成果也适应于Herz-Morrey空间,Herz空间和Morrey空间.In this paper, the authors study the commutators of multilinear Calderdn- Zygmund operators with the vector functions b in BM6（Rn）. We get strong estimates of two kinds of commutators on weighted Herz-Morrey spaces. Our results also apply to Herz-Morrey spaces, Herz spaces and Morrey spaces.

关 键 词：多线性 交换子 加权HERZ-MORREY空间 

分 类 号：O177[理学—数学]