| The Boundedness for Commutators of Multipliers |
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| 作者姓名： | Wen-ming Li Shan-zhen Lu Hui-xia Mo |
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| 作者单位： | 3，4~* |
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| 基金项目： | Supported by National 973 project （G.19990751） and the Doctoral Programme Foundation of Institution of Higher Education of China（20040027001）.Acknowledgements. The authors would like to express their gratitude to the referees for their comments. |
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| 摘 要： | Letb,T]be the commutator generated by a Lipschitz function b ∈ Lip(β)(0<β<1)and multiplierT.The authors studied the boundedness ofb,T]on the Lebesgue spaces and Hardy spaces.
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| 关 键 词： | 交换子 乘法器 Lipschitz空间 哈代空间 数学分析 |
| 收稿时间： | 26 April 2005 |
| 修稿时间： | 2005-04-262006-06-16 |
The Boundedness for Commutators of Multipliers |
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| Wen-ming Li Shan-zhen Lu Hui-xia Mo.The Boundedness for Commutators of Multipliers[J].Acta Mathematicae Applicatae Sinica,2007,23(1):113-122. |
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| Authors: | Wen-ming Li Shan-zhen Lu Hui-xia Mo |
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| Institution: | (1) College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;(2) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;(3) School of Sciences, Beijing University of Post and Telecommunications, Beijing 100875, China;(4) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China |
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| Abstract: | Abstract
Let b, T] be the commutator generated by a Lipschitz function b ∈ Lip(β)(0 < β < 1) and multiplier T. The authors studied the boundedness of b, T] on the Lebesgue spaces and Hardy spaces.
Supported by National 973 project (G.19990751) and the Doctoral Programme Foundation of Institution of Higher Education of
China(20040027001). |
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| Keywords: | Commutator multiplier Lipschitz space hardy space |
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