| Littlewood-Paley算子的多线性交换子在块Hardy空间上的加权有界性 |
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| 引用本文： | 易涤尘.Littlewood-Paley算子的多线性交换子在块Hardy空间上的加权有界性[J].湖南科技学院学报,2008,29(4):24-27. |
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| 作者姓名： | 易涤尘 |
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| 作者单位： | 湖南对外经济贸易职业学院,数学系,湖南,长沙,410015 |
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| 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.
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| 关 键 词： | 多线性算子 Littlewood-Paley算子 Hardy空间 BMO空间 A1权 |
| 文章编号： | 1673-2219(2008)04-0024-04 |
| 修稿时间： | 2007年12月28 |
Weighted Boundedness for Multilinear Littlewood-Paley Commutator on Some Block-Hardy Spaces |
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| YI Di-chen.Weighted Boundedness for Multilinear Littlewood-Paley Commutator on Some Block-Hardy Spaces[J].Journal of Hunan University of Science and Engineering,2008,29(4):24-27. |
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| Authors: | YI Di-chen |
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| Institution: | YI Di-chen (Department of Mathematics,Hunan Foreign Economic Relations , Trade College,Changsha 410015) |
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| Abstract: | 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. |
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| Keywords: | Multilinear operator Littlewood-Paley operator Hardy space BMO space A1 weigh |
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