| 中间λ康托集上可积函数空间的完备性 |
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| 引用本文： | 胡晓梅.中间λ康托集上可积函数空间的完备性[J].咸宁学院学报,2009,29(6):98-99. |
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| 作者姓名： | 胡晓梅 |
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| 作者单位： | 咸宁学院,数学与统计学院,湖北,咸宁,437100 |
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| 摘 要： | 首先通过一类特殊的分形集——中间λ康托集的构造，得到它的一些重要拓扑性质和分形特征；进而利用控制收敛定理，证明了中间λ康托集上P方可积函数空间是完备的．
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| 关 键 词： | 中间λ康托集 可积函数空间 完备性 |
Completion of LP (F,μ) |
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| HU Xiao-mei.Completion of LP (F,μ)[J].Journal of Xianning College,2009,29(6):98-99. |
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| Authors: | HU Xiao-mei |
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| Institution: | HU Xiao - mei ( College of Mathematics and Statistics, Xianning University, Xianning 437100, China) |
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| Abstract: | By analyzing the construction of a typical fractal set-- the middle λ Cantor set ,this paper has discussed some topological properties and fractal characters of the middle λ Cantor set firstly, and then has proved that the space L^p（ F, μ） （ 1 ≤p 〈 ∞ ）is complete by using the dominated convergence theorem. |
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| Keywords: | The middte λ Cantor set L^p（F μ） Completion |
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