| THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS |
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| 作者姓名： | Xu You |
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| 作者单位： | Institute of Mathematics，Fudan University，Shanghai 200433，Shanghai，China |
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| 摘 要： | ＴＨＥＣＡＰＡＣＩＴＹＤＥＮＳＩＴＹＡＮＤＴＨＥＨＡＵＳＤＯＲＦＦＤＩＭＥＮＳＩＯＮＯＦＦＲＡＣＴＡＬＳＥＴＳ￥ＸｕＹｏｕ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２００４３３，Ｓｈａｎｇｈａｉ，...
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| 关 键 词： | 容量密度 豪斯多夫维度 分馏集 波莱尔测度 质量分布 |
| 收稿时间： | 1992/12/14 0:00:00 |
THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS |
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| Xu You.THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS[J].Chinese Annals of Mathematics,Series B,1995,16(1):43-50. |
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| Authors: | Xu You |
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| Institution: | InstituteofMathematics,FuadanUniversity,Shanghai200433,Shanghai,China |
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| Abstract: | This paper defines the upper capacity densities of the subsets of Hn, gets uniform lower bound of the upper capacity densities for Hs-almost all points of the Hausdorff s-sets or the analytic sets with Hausdorff dimension s in Rn, which improves the results of Wen Zhiying and Zhang Yipings paper in 1]. |
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| Keywords: | Capacity density Hausdorff dimension Fractal set |
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