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Littlewood-Paley算子的多线性交换子在一类Block-Hardy空间上的加权有界性 被引量:1

Weighted Boundedness for Multilinear Littlewood-Paley Commutator on Some Block-Hardy Spaces
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摘要 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Block空间的块分解方法证明了这类多线性交换子在上述Block-Hardy空间上的加权有界性. 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.
作者 曾甲生
出处 《晓庄学院自然科学学报》 CAS 北大核心 2011年第1期23-26,共4页 Journal of Natural Science of Hunan Normal University
基金 湖南省自科基金项目资助项目(09JJ6005)
关键词 多线性算子 LITTLEWOOD-PALEY算子 HARDY空间 BMO空间 A1权 multilinear operator Littlewood-Paley operator hardy space BMO space A1 weigh
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  • 1ALVAREZ J. Continuity properties for linear commutators of Calderon-Zygmund operators[J]. Collect Math, 1998, 49(1) :17-31.
  • 2GARCIA-CUERRA J. Weighted norm inequalities and related topics[ M ]. Amsterdan:North-Holland Math Studies, 1985.
  • 3KOMORI Y. Weighted hardy spaces estimates for commutators of singular integral operators [ J ]. Far East J Math Sci, 2001, 3(6) :889-898.
  • 4LIU L Z. Weighted weak type (H1, L1 ) estimates for commutators of Littlewood-Paley operators [ J]. Indian J Math, 2003,45 (1) :71-78.
  • 5LIU L Z. Continuity for commutators of Littlewood-Paley operators on certain Hardy spaces [ J ]. J Korean Math Soc, 2003, 40( 1 ) :41-60.
  • 6PEREZ C. Sharp weighted estimates for multilinear commutators[J]. J London Math Soc, 2002, 65 (4) :672-692.
  • 7STEIN E M. On convergence of poisson integrals [ J]. Trans Amer Math Soc, 1969,140 ( 1 ) :35-54.

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