| 乘积概率空间中的密度定理 |
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| 引用本文： | 马强. 乘积概率空间中的密度定理[J]. 徐州师范大学学报(自然科学版), 2006, 24(3): 16-19 |
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| 作者姓名： | 马强 |
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| 作者单位： | 江苏技术师范学院,基础课部,江苏,常州,213001 |
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| 摘 要： | 密度定理是分形理论中非常重要的定理,Dai Chaoshou和Taylor S J在文献[1]中给出了概率空间中的密度定理.本文推广了文献[1]中的结果,在乘积概率空间中证明了相应于Hausdorff测度与Packing测度的密度定理.
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| 关 键 词： | 乘积概率空间 乘积测度 密度定理 |
| 文章编号： | 1007-6573(2006)03-0016-04 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006-04-10 |
Density Theorems in Product Probability Spaces |
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| MA Qiang. Density Theorems in Product Probability Spaces[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2006, 24(3): 16-19 |
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| Authors: | MA Qiang |
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| Affiliation: | Department of Foundation Course, Jiangsu Teachers University of Technology, Changzhou, Jiangsu, 213001, China |
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| Abstract: | In fractals theory,the density theorems are very important.In Ref. the density theorems have been proved in probability spaces by Dai Chaoshou and Taylor S J.In this paper,the density theorems in product probability spaces are studied,and the density theorems about Hausdorff measures and Packing measures are obtained,respectively. |
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| Keywords: | product probability space product measure density theorem |
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