| k分Cantor集C_k上p方可积函数空间L~P(C_k,μ)的可分性 |
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| 引用本文： | 胡晓梅.k分Cantor集C_k上p方可积函数空间L~P(C_k,μ)的可分性[J].甘肃科学学报,2010,22(2):153-155. |
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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： | 文献1]已知三分Cantor集C上p方可积函数空间LP(C,μ)(1≤p∞)是可分的,将此结论推广到k分Cantor集Ck(k为1的奇数)上,证明了k分Cantor集Ck上p方可积函数空间LP(Ck,μ)(1≤p∞)也是可分的.
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| 关 键 词： | k分Cantor集 L^P（Ck μ） 可分性 |
The Separability of LP(Ck,μ) |
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| HU Xiao-mei.The Separability of LP(Ck,μ)[J].Journal of Gansu Sciences,2010,22(2):153-155. |
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| Authors: | HU Xiao-mei |
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| Institution: | HU Xiao-mei(School of Mathematics and Statistics,Xianning College,Xianning 437100,China) |
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| Abstract: | According to the bibliography1],it is known that the space L^P（C,μ）（1≤p∞） is separable.This conclusion has been generalized to the kth Cantor sets Ck （in which k is an odd integer larger than one）,and it is proved that the space LP（Ck,μ）（1≤p∞） is separable,too. |
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| Keywords: | the kth Cantor sets L^P（Ck μ） separability |
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