| Banach空间值弱Garsia型鞅空间及其原子分解 |
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| 引用本文： | 朱永刚,于林.Banach空间值弱Garsia型鞅空间及其原子分解[J].应用数学,2008,21(3). |
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| 作者姓名： | 朱永刚 于林 |
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| 作者单位： | 三峡大学理学院,湖北,宜昌,443002 |
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| 基金项目： | 湖北省教育厅自然科学基金 |
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| 摘 要： | 定义了Banach空间值弱Garsia型鞅空间和三种类型原子,证明了Banach空间值弱Garsia型鞅空间上的四个原子分解定理,并利用这些定理,得到Banach空间值弱Garsia型鞅空间的互相嵌入关系,其结果与Banach空间的凸性和光滑性有密切关系.
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| 关 键 词： | Banach空间值弱Garsia型鞅空间 平削算子 原子分解 嵌入 Weak Garsia spaces of Banach space-valued martingales Sharp operator Atomic decomposition Embedding Banach space 鞅空间 原子分解 Atomic Spaces Martingale results geometric properties embedding relationships martingale applying theorems atomic decomposition weak spaces established 嵌入关系 凸性和光滑性 结果 |
Banach Space-Valued Weak Martingale Garsia Spaces and Atomic Decompositions |
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| ZHU Yong-gang,YU Lin.Banach Space-Valued Weak Martingale Garsia Spaces and Atomic Decompositions[J].Mathematica Applicata,2008,21(3). |
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| Authors: | ZHU Yong-gang YU Lin |
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| Abstract: | Some theorems of atomic decomposition for weak Garsia spaces of Banach space-valued martingales are established,applying them,the embedding relationships among these martingale spaces are discussed,and the results obtained here are connected closely with the geometric properties of the Banach space. |
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| Keywords: | Weak Garsia spaces of Banach space-valued martingales Sharp operator Atomic decomposition Embedding |
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