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| 集值Vitali-Hahn-Saks-Nikodym定理 | |
| 引用本文： | 韩猛,刘德,罗成.集值Vitali-Hahn-Saks-Nikodym定理[J].数学学报,2010,53(3):525-530. |
| 作者姓名： | 韩猛 刘德 罗成 |
| 作者单位： | 内蒙古财经学院统计系;中国人民大学统计学院;内蒙古大学数学科学学院; |
| 基金项目： | 国家自然科学基金资助项目(10871106) |
| 摘 要： | 本文通过强可加集值测度的一个等价叙述引入集值测度一致强可加的概念,并建立了集值测度的Vitali-Hahn-Saks-Nikodym定理. |
| 关 键 词： | 向量测度 集值测度 Vitali-Hahn-Saks-Nikodym定理 |
| 收稿时间： | 2009-02-13 |
| 修稿时间： | 2009-10-27 |
Set-valued Vitali--Hahn--Saks--Nikodym Theorem |
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| Meng HAN School of Statistics , Mathematics,Inner Mongolia College of Finance , Economics,Hohhot ,P.R.China School of Statistics,Renmin University of China,Beijing ,P.R.China De LIU Cheng LUO School of Statistics , Mathematics,P.R.China.Set-valued Vitali--Hahn--Saks--Nikodym Theorem[J].Acta Mathematica Sinica,2010,53(3):525-530. | |
| Authors: | Meng HAN School of Statistics Mathematics Inner Mongolia College of Finance Economics Hohhot PRChina School of Statistics Renmin University of China Beijing PRChina De LIU Cheng LUO School of Statistics Mathematics PRChina |
| Institution: | 1. School of Statistics and Mathematics, Inner Mongolia College of Finance and Economics, Hohhot 010051, P. R. China; 2. School of Statistics, Renmin University of China, Beijing 100872, P. R. China; 3. School of Statistics and Mathematics, Inner Mongolia College of Finance and Economics, Hohhot 010051, P. R. China |
| Abstract: | In this paper,the definition of uniform strongly additive for a collection of strongly additive set-valued measures is introduced by on equivalent statement about the strongly additive set-valued measure.Then the Vitali-Hahn-Saks-Nikodym theorem about set-valued measure is established. |
| Keywords: | vector valued measure set-valued measure Vitali-Hahn-Saks-Nikodym theorem |
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