| 鲁金定理与可测函数的本性定理 |
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| 引用本文： | 戚民驹.鲁金定理与可测函数的本性定理[J].上海电机学院学报,2009,12(3):240-242. |
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| 作者姓名： | 戚民驹 |
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| 作者单位： | 上海电机学院,数理教学部,上海,200240 |
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| 摘 要： | 讨论鲁金定理与勒贝格可测函数的本性定理之间的关系,利用n-维勒贝格可测集几乎所有的点都是全密点与鲁金定理的结论证明勒贝格可测函数的本性定理,利用勒贝格可测函数的本性定理证明鲁金定理.
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| 关 键 词： | 勒贝格可测函数 全密点 近似连续点 |
Lusin Theorem and the Natural Disposition Theorem of the Measurable Functions |
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| QI Minju.Lusin Theorem and the Natural Disposition Theorem of the Measurable Functions[J].JOurnal of Shanghai Dianji University,2009,12(3):240-242. |
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| Authors: | QI Minju |
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| Affiliation: | Department of Mathematics and Physics;Shanghai Dianji University;Shanghai 200240;China |
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| Abstract: | The relations between the Lusin theorem and the natural disposition theorem of the Lebesgue measurable functions are discussed in this paper,according to the almost every point of the n-dimension Lebesgue measurable set being the entire dense spot and the Lusin theorem.The natural disposition theorem of Lebesgue measurable functions is proved,and so is the Lusin theorem by the natural disposition theorem of the Lebesgue measurable functions. |
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| Keywords: | Lebesgue measurable function entire dense spot approximate continuity spot |
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