| 与微分算子相联系的Hardy空间g函数刻画 |
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| 引用本文： | 谭超强.与微分算子相联系的Hardy空间g函数刻画[J].汕头大学学报(自然科学版),2009,24(3):22-27. |
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| 作者姓名： | 谭超强 |
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| 作者单位： | 汕头大学理学院数学系,广东,汕头,515063 |
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| 基金项目： | 汕头大学青年科研基金，广东高校优秀青年创新人才培育资助项目 |
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| 摘 要： | 采用帐篷空间理论对与微分算子相联系的Hardy空间进行研究,通过深刻揭示帐篷空间的内在性质,证明与微分算子相联系的Hardy空间的面积函数刻画与Littlewood-Paleyg函数刻画是等价的.
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| 关 键 词： | 帐篷空间 Hardy空间 S函数 g函数 T2p原子 |
The g Function Characterization of the Hardy Space Associated to the Differential Operators |
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| TAN Chao-qiang.The g Function Characterization of the Hardy Space Associated to the Differential Operators[J].Journal of Shantou University(Natural Science Edition),2009,24(3):22-27. |
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| Authors: | TAN Chao-qiang |
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| Institution: | TAN Chao-qiang (Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China) |
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| Abstract: | The purpose of this paper is to prove the Hardy space associated to the differential operators characterized by the square function is equivalent to the g function characterization. In order to do that, the tent spaces were further researched, and its Important properties were obtained, which will provide a convenient passageway to solve the problem, i.e. the g function characterization is equivalent to the square function characterization. |
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| Keywords: | tent spaces Hardy spaces S function g function T2^D atom |
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