Littlewood-Paley算子的多线性交换子在块Hardy空间上的加权有界性  

Weighted Boundedness for Multilinear Littlewood-Paley Commutator on Some Block-Hardy Spaces

作　　者：易涤尘[1] 

机构地区：[1]湖南对外经济贸易职业学院数学系,湖南长沙410015

出　　处：《湖南科技学院学报》2008年第4期24-27,共4页Journal of Hunan University of Science and Engineering

摘　　要：本文定义了一类与Littlewood—Paley算子相关的多线性交换子,然后利用Hardy空间的原子分解和块空间的块分解方法证明了这类多线性交换子在块—Hardy空间上的加权有界性。In this paper, some multilinear operators related to the Littlewood-Paley operators are defined, and the weighted boundedness for the multilinear operators on some Block-Hardy spaces are obtained by using the atomic and block decomposition of the spaces.

关 键 词：多线性算子 Littlewood—Paley算子 HARDY空间 BMO空间 A1权 

分 类 号：O177.3[理学—数学] O175.1[理学—基础数学]