| Brown运动增量在H(o)lder范数下关于(r,p)-容度的泛函极限定理 |
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| 引用本文： | 刘永宏.Brown运动增量在H(o)lder范数下关于(r,p)-容度的泛函极限定理[J].系统科学与数学,2010,30(5):611-618. |
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| 作者姓名： | 刘永宏 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,桂林,541004 |
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| 基金项目： | 国家自然科学,教育部博士研究,桂林电子科技大学博士科研 |
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| 摘 要： | 利用Brown运动在H\"older 范数下关于$(r,p)$-容度的大偏差,证明了Brown运动增量在H\"older范数下关于$(r,p)$-容度的泛函极限定理.
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| 关 键 词： | Brown运动增量 H\"older范数 大偏差 $(r p)$-容度 泛函极限. |
| 收稿时间： | 2007-10-15 |
| 修稿时间： | 2010-4-12 |
THE FUNCTIONAL LIMIT THEOREM FOR INCREMENTS OF A BROWNIAN MOTION IN H(O)LDER NORM WITH RESPECT TO (r,p)-CAPACITIES |
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| LIU Yonghong.THE FUNCTIONAL LIMIT THEOREM FOR INCREMENTS OF A BROWNIAN MOTION IN H(O)LDER NORM WITH RESPECT TO (r,p)-CAPACITIES[J].Journal of Systems Science and Mathematical Sciences,2010,30(5):611-618. |
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| Authors: | LIU Yonghong |
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| Institution: | School of Mathematics and Computing Science, Guilin University of ElectronicTechnology, Guilin Guangxi 541004 |
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| Abstract: | Using large deviations for a Brownian motion in H\"older norm with respect to $(r,p)$-capacities, it is proven that the functional limit theorem for increments of a Brownian motion in H\"older norm with respect to $(r,p)$-capacities holds. |
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| Keywords: | Increment of a Brownian motion H\"older norm large deviation $(r p)$-capacities functional limit |
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