| p-光滑性的简单原子刻划 |
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| 引用本文： | 刘志民.p-光滑性的简单原子刻划[J].河南科技大学学报(自然科学版),2012,33(3):58-60,113. |
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| 作者姓名： | 刘志民 |
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| 作者单位： | 河北工程大学理学院,河北邯郸,056038 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 摘 要： | 建立了Banach空间值鞅空间pΣq的简单原子分解定理,利用鞅的简单原子分解给出了取值空间p-光滑性的一种刻划。结果表明:B值鞅空间的简单原子分解与鞅的值空间的几何性质之间有着密切的联系。
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| 关 键 词： | p-光滑性 简单原子分解 B值鞅空间 |
Characterization of p-smooth by Simple Atomic Decompositions |
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| LIU Zhi-Min.Characterization of p-smooth by Simple Atomic Decompositions[J].Journal of Henan University of Science & Technology:Natural Science,2012,33(3):58-60,113. |
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| Authors: | LIU Zhi-Min |
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| Institution: | LIU Zhi-Min (College of Science,Hebei University of Engineering,Handan 056038,China) |
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| Abstract: | In this paper,a simple atomic decomposition for Banach-space-valued martingale space pΣq was established.With the help of simple atomic decompositions of martingales,a characterization of p-smooth Banach space in which the martingales took their values was given.The result shows that there exist close relations between simple atomic decompositions of Banach-space-valued martingales and the geometric properties of the Banach space in which the martingales take their values. |
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| Keywords: | p-smooth Simple atomic decomposition B-valued martingale space |
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