| 无限状态空间上的测度和鞅 |
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| 引用本文： | 陈泽乾. 无限状态空间上的测度和鞅[J]. 数学物理学报(A辑), 1997, 17(2): 229-234 |
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| 作者姓名： | 陈泽乾 |
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| 作者单位： | 武汉大学数学系!武汉，430072 |
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| 摘 要： | 建立无限状态空间上的Radon－Nikodym定理和Riesz表示定理，引进测度值鞅并应用于超过程．
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| 关 键 词： | 偏Radon－Nikodym导数 ω－积分 测度值鞅 超过程 |
Measures and Martingales on Infinite State Spaces |
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| Chen Zeqian. Measures and Martingales on Infinite State Spaces[J]. Acta Mathematica Scientia, 1997, 17(2): 229-234 |
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| Authors: | Chen Zeqian |
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| Abstract: | The Radon-Nikodym theorem and Riesz representation theorem on infinite state spaces are built. Then we introduce the notion of measure-valued martingales. The measure-valued martingales are different from the usual vector-valued inartingales and can be applied to superprocesses. |
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| Keywords: | Polish spaces partial Radon-Nikodym derivatives bimeasures measure-valued martingales |
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