| 多线性Littlewood-paley算子在一类Block-hardy空间上的加权有界性 |
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| 引用本文： | 周肖沙,吴柏森,杨东.多线性Littlewood-paley算子在一类Block-hardy空间上的加权有界性[J].电工标准与质量,2006,21(4):78-81. |
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| 作者姓名： | 周肖沙 吴柏森 杨东 |
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| 作者单位： | 长沙理工大学数学与计算科学学院 湖南长沙410076 |
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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.
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| 关 键 词： | 多线性算子 Littlewood-paley算子 Hardy空间 BMO空间 权 |
| 文章编号： | 1006-7140（2006）04-0078-04 |
| 收稿时间： | 2006-08-10 |
Weighted Boundedness for Multilinear Littlewood-paley Operators on Some Block-hardy Spaces |
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| ZHOU Xiao-sha, WU Bo-sen, YANG Dong.Weighted Boundedness for Multilinear Littlewood-paley Operators on Some Block-hardy Spaces[J].Journal of Changsha University of Electric Power(Natural Science Edition),2006,21(4):78-81. |
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| Authors: | ZHOU Xiao-sha WU Bo-sen YANG Dong |
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| Affiliation: | College of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410076 ,China |
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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 weigh |
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