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| THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS |
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Citation： |
Xu You.THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS[J].Chinese Annals of Mathematics B,1995,16(1):43~50 |
| Page view： 783
Net amount： 696 |
Authors： |
Xu You; |
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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]. |
Keywords： |
Capacity density, Hausdorff dimension, Fractal set. |
Classification： |
28A12,31B15. |
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