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多线性Littlewood-paley算子在一类Block-hardy空间上的加权有界性

Weighted Boundedness for Multilinear Littlewood-paley Operators on Some Block-hardy Spaces
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摘要 定义一类与L ittlewood-paley算子相关的多线性算子,它是L ittlewood-paley算子的交换子的推广.然后利用Hardy空间的原子分解和B lock空间的块分解方法引入一类B lock-hardy空间,并由此证明这类与L ittlewood-paley算子相关联的多线性算子在上述B lock-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.
出处 《长沙电力学院学报(自然科学版)》 2006年第4期78-81,共4页 JOurnal of Changsha University of electric Power:Natural Science
关键词 多线性算子 LITTLEWOOD-PALEY算子 HARDY空间 BMO空间 multilinear operator litflewood-paley operator hardy space BMO space weigh
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