| 绝对连续测度的Loeb代数 |
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| 作者姓名： | CHEN Dong-li YUAN Wen-fa |
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| 作者单位： | SchoolofScience,Xi＇anUniversityofArchitectureandTechnology,Xi＇an710055,China |
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| 基金项目： | Supported by the Special Science Foundation of the Education Committee of Shaanxi Province(03jk066) |
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| 摘 要： | It is proved that if μ and v be finite measures on a measurable space (X,S) and v is absolutely continuous with respect to v, then it is holds that L(^*S,^*v) C L(^*S,^*v), while L(^*S,^*v) and L(^*S,^*v) are the Loeb algebras with respect to measure spaces (X,S,μ) and(X,S,μ).
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| 关 键 词： | 罗卜代数学 完全连续测量 函数论 测量空间 |
The Loeb Algebras of Absolutely Continuous Measure |
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| CHEN Dong-li,YUAN Wen-fa.The Loeb Algebras of Absolutely Continuous Measure[J].Chinese Quarterly Journal of Mathematics,2004,19(2):218-220. |
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| Authors: | CHENDong-li YUANWen-fa |
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| Abstract: | |
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| Keywords: | absolute continuous Loeb measure space denumerable comprehension overflow principle infinitesimal prolongation |
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