| 摘要: |
| 本文研究了一类新的齐次Moran集.利用xs(0< s < 1)的凸性方法,获得了它的Hausdorff测度,推广了齐次cantor集的结果. |
| 关键词: 齐次Moran集 凸性 Hausdorff测度 |
| DOI： |
| 分类号:O174.12 |
| 基金项目: |
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| HAUSDORFF MEASURES FOR A CLASS OF HOMOGENEOUS MORAN SETS |
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XIAO Zu-biao, LIU Wei-bin
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| In this paper, we consider a new kind of homogeneous Moran sets. By using the convexity of xs(0< s < 1), we get its Hausdorff measure, which generalizes the results of homogeneous Cantor sets. |
| Key words: homogeneous Moran sets convexity Hausdorff measure |
