| s-集的Hs-几乎处处闭集覆盖与Hausdorff测度 |
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| 引用本文： | 许绍元.s-集的Hs-几乎处处闭集覆盖与Hausdorff测度[J].吉首大学学报(自然科学版),2009,30(6):18-20. |
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| 作者姓名： | 许绍元 |
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| 作者单位： | (赣南师范学院数学与计算机科学学院,江西 赣州 341000) |
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| 基金项目： | 国家自然科学基金，江西省教育厅科技研究项目 |
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| 摘 要： | 研究了比自相似集更广泛的一类分形集--s-集,利用Vitali覆盖定理得到了由Hs-几乎处处闭集覆盖所描述的s-集的Hausdorff测度的一个覆盖性质,进而得到了s-straight s-集的Hausdorff测度一个刻画.
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| 关 键 词： | s-集与s-straight s-集 Hs-几乎处处闭集覆盖 Hausdorff测度 上凸密度 |
Hs-a.e.Closed Set Covering and Hausdorff Measure for the s-Sets |
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| XU Shao-yuan.Hs-a.e.Closed Set Covering and Hausdorff Measure for the s-Sets[J].Journal of Jishou University(Natural Science Edition),2009,30(6):18-20. |
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| Authors: | XU Shao-yuan |
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| Institution: | (School of Mathematics and Computer Science,Gannan Teachers’ College,Ganzhou 341000,Jiangxi China) |
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| Abstract: | The s-sets have been studied in this paper.Using the Vitali Covering Theorem the author gets a basic property describing the Hausdorff measure of the s-set by the notation of Hs-a.e.closed set covering.As applications,the author obtains the characteristic on the Hausdorff measure of the s-straight s-set. |
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| Keywords: | s-set s-straight s-set Hs-a e closed set covering Hausdorff measure upper convex density |
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