| A Certain Regular Property of the Method I Construction and Packing Measure |
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| 作者姓名： | Sheng You WEN |
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| 作者单位： | Department of Mathematics, Hubei University, Wuhan 430062, P. R. China |
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| 基金项目： | Supported by the Natural Science Foundation of China （10571063）. The work is partly carried out in the Morningside Center of Mathematics, Chinese Academy of Sciences |
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| 摘 要： | Let τ be a premeasure on a complete separable metric space and let τ＊ be the Method I measure constructed from τ. We give conditions on T such that τ＊ has a regularity as follows： Every τ＊-measurable set has measure equivalent to the supremum of premeasures of its compact subsets. Then we prove that the packing measure has this regularity if and only if the corresponding packing premeasure is locally finite.
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| 关 键 词： | 建筑物 填装 规律性 可分空间 |
| 收稿时间： | 18 February 2005 |
| 修稿时间： | 2005-02-18 |
A Certain Regular Property of the Method I Construction and Packing Measure |
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| Sheng You WEN.A Certain Regular Property of the Method I Construction and Packing Measure[J].Acta Mathematica Sinica,2007,23(10):1769-1776. |
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| Authors: | Sheng You Wen |
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| Institution: | (1) Department of Mathematics, Hubei University, Wuhan, 430062, P. R. China |
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| Abstract: | Let τ be a premeasure on a complete separable metric space and let τ* be the Method I measure constructed from τ. We give conditions on τ such that τ* has a regularity as follows: Every τ*-measurable set has measure equivalent to the supremum of premeasures of its compact subsets. Then we prove that the packing
measure has this regularity if and only if the corresponding packing premeasure is locally finite.
Supported by the Natural Science Foundation of China (10571063). The work is partly carried out in the Morningside Center
of Mathematics, Chinese Academy of Sciences |
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| Keywords: | method I construction regularity packing premeasure packing measure |
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