| 鞅空间的原子分解与有限鞅的稠密性 |
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| 引用本文： | 于林,殷樱. 鞅空间的原子分解与有限鞅的稠密性[J]. 纯粹数学与应用数学, 2009, 25(3): 417-424 |
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| 作者姓名： | 于林 殷樱 |
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| 作者单位： | 三峡大学理学院,湖北,宜昌,443002;三峡大学理学院,湖北,宜昌,443002 |
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| 基金项目： | 国家自然科学基金，湖北省高等学校自然科学研究计划重点项目 |
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| 摘 要： | 引入了原子鞅与正则原子鞅概念、并研究了两类Banach空间值鞅Hardy空间的原子分解和有限鞅的稠密性，所得结论揭示了鞅Hardy空间正则原子鞅分解的存在性，有限鞅的稠密性和Banach空间的一致光滑性（或一致凸性）三者之间的内在联系．
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| 关 键 词： | 鞅空间 原子分解 有限鞅 稠密 |
Atomic decompositions and density of finite martingales in martingale spaces |
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| YU Lin,YIN Ying. Atomic decompositions and density of finite martingales in martingale spaces[J]. Pure and Applied Mathematics, 2009, 25(3): 417-424 |
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| Authors: | YU Lin YIN Ying |
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| Affiliation: | YU Lin,YIN Ying( Science College,China Three Gorges University,Hubei,Yichang 443002,China) |
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| Abstract: | The concepts of atomic martingales and regular atomic martingales are introduced,then the atomic decompositions and the density of finite martingales in two classes of Banach-space-valued martingale Hardy spaces are investigated. By the results obtained here,the internal relations among the existence of atomical decompositions,the density of finite martingales and the uniform smoothness(or uniform convexity) of Banach spaces are exposed. |
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| Keywords: | martingale space atomic decomposition finite martingale density |
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