| Marcinkiewicz算子的多线性交换子在一类BlockHardy空间上的加权有界性 |
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| 引用本文： | 吕志军. Marcinkiewicz算子的多线性交换子在一类BlockHardy空间上的加权有界性[J]. 湖南城市学院学报(自然科学版), 2007, 16(2): 37-39 |
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| 作者姓名： | 吕志军 |
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| 作者单位： | [1]湖南大学数学与计量经济学院,长沙410082 [2]岳阳市职业技术学院,湖南岳阳414000 |
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| 摘 要： | 定义了一类与Marcinkiewicz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．
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| 关 键 词： | 多线性算子 Marcinkiewicz算子 Hardy空间 BM0空间 A1权 |
| 文章编号： | 1672-7304（2007）02-0037-03 |
| 修稿时间： | 2007-03-10 |
Weighted Boundedness for Multilinear Marcinkiewicz Commutator on Some Block-Hardy Spaces |
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| LV Zhi-jun. Weighted Boundedness for Multilinear Marcinkiewicz Commutator on Some Block-Hardy Spaces[J]. Journal of Hunan City University:Natural Science, 2007, 16(2): 37-39 |
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| Authors: | LV Zhi-jun |
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| Affiliation: | 1.College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082 China; 2,Yueyang Vocational Technical College, Yueyang, Hunan 414000, China |
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| Abstract: | In this paper, some multilinear operators related to the Marcinkiewicz 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 Marcinkiewicz operator Hardy space BMO space A1 weigh |
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