| 向量值弱Orlicz鞅空间的弱原子分解 |
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| 引用本文： | 朱永刚,于林.向量值弱Orlicz鞅空间的弱原子分解[J].山东大学学报(理学版),2010,45(5):95-100. |
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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： | 国家自然科学基金资助项目，湖北省教育厅自然科学研究计划重点项目 |
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| 摘 要： | 定义了向量值弱Orlicz鞅空间和3种类型的弱原子,证明了向量值弱Orlicz鞅空间上的一些弱原子分解定理,并利用这些分解,得到向量值弱Orlicz鞅空间之间的嵌入关系,其结果与Banach空间的几何性质有密切关系。
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| 关 键 词： | Banach空间 弱Orlicz鞅空间 弱原子分解 嵌入 |
| 收稿时间： | 2009-01-18 |
Weak atomic decompositions for vector-valued weak Orlicz martingale spaces |
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| ZHU Yong-gang,YU Lin.Weak atomic decompositions for vector-valued weak Orlicz martingale spaces[J].Journal of Shandong University,2010,45(5):95-100. |
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| Authors: | ZHU Yong-gang YU Lin |
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| Institution: | College of Science, China Three Gorges University, Yichang 443002, Hubei, China |
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| Abstract: | Some vector-valued weak Orlicz martingale spaces and three type weak atomics are defined, and the primary theorems of weak atomic decompositions for these weak spaces are established. As an application, the embedding relationships among these martingale spaces are discussed, and the results obtained here are closely connected with the geometric properties of the Banach space. |
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| Keywords: | Banach space weak Orlicz martingale spaces weak atomic decomposion embedding |
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