| Banach空间的RNP及鞅不等式的相关研究 |
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| 引用本文： | 梁泽霖,钱能生.Banach空间的RNP及鞅不等式的相关研究[J].五邑大学学报(自然科学版),2010,24(1):61-63. |
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| 作者姓名： | 梁泽霖 钱能生 |
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| 作者单位： | 五邑大学,数理系,广东,江门,529020 |
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| 摘 要： | 设B是有限维的,通过研究B值鞅型序列之间的关系及鞅的收敛性、RNP和光滑性,得出了RNP一个简明的充分条件和B值鞅的一个不等式.
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| 关 键 词： | RNP B值鞅 P一阶光滑 Banach空间 |
A Study of the Radon-Nikodym Property and Inequality of Martingale in the Banach Space |
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| LIANG Ze-lin,QIAN Neng-sheng.A Study of the Radon-Nikodym Property and Inequality of Martingale in the Banach Space[J].Journal of Wuyi University(Natural Science Edition),2010,24(1):61-63. |
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| Authors: | LIANG Ze-lin QIAN Neng-sheng |
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| Institution: | (Department of Mathematics ＆ Physics, Wuyi University, Jiangmen 529020, China) |
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| Abstract: | We restrict B to the finite-dimensional＇s Banach space. By studying the relationship between B-valued martingale sequences and the convergence, Radon-Nikodym property and smoothness of the B-valued martingale, we get a concise necessary sufficient condition and an inequality of B-valued martingale. |
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| Keywords: | RNP |
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