| 乘积空间上的乘积集值测度 |
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| 引用本文： | 侯仁恩. 乘积空间上的乘积集值测度[J]. 上饶师范学院学报, 1995, 0(6) |
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| 作者姓名： | 侯仁恩 |
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| 作者单位： | 上饶师专数学系 |
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| 摘 要： | 文［１］首先给出了集值测度空间上的随机集积分，并给出了积分的绝对连续性；集值测度的绝对连续性的充要条件；给出了随机集积分在拓扑意义下的收敛定理。本文在乘积空间上建立了乘积集值测度定理和在比较特殊一些的条件下的Ｆｕｂｉ－ｎｉ定理。解决了文［２］提出的两个无人涉及的问题之一。
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| 关 键 词： | 集值测度；随机集；乘积集值测度 |
PRODUCT SET-VALUED MEASURES ON PRODUCT SPACE |
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| Hou Renen. PRODUCT SET-VALUED MEASURES ON PRODUCT SPACE[J]. Journal of Shangrao Normal College, 1995, 0(6) |
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| Authors: | Hou Renen |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,the product set-valued measures theorem on product space are estab-lished.Fubini' s theorem on product set-valued measure spaces is discussed. |
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| Keywords: | Set-valued measure Random set Poodact set-valued measurc |
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