| 三分Cantor集自乘积的Hausdorff测度上限的估计 |
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| 引用本文： | 刘娟,许绍元. 三分Cantor集自乘积的Hausdorff测度上限的估计[J]. 淮北煤炭师范学院学报(自然科学版), 2006, 27(1): 1-4 |
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| 作者姓名： | 刘娟 许绍元 |
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| 作者单位： | 淮北煤炭师范学院数学系,安徽,淮北,235000 |
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| 基金项目： | 安徽省教育厅自然科学研究计划项目(2003kj047zd),淮北煤炭师范学院教学研究项目(8088)~~ |
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| 摘 要： | 文章证明了三分Cantor集C的自乘积C×C的Hausdorff测度的上限满足,Hlog34(C×C)1.495901改进了现有文献的有关结果.
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| 关 键 词： | 自相似集 Hausdorff维数与测度 Cantor集 |
| 文章编号： | 1672-7177(2006)01-0001-04 |
| 修稿时间： | 2005-11-14 |
The Hausdorff Measure of the Cartesian Product of the Middle Third Cantor Set with Itself |
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| LIU Juan,XU Shao-yuan. The Hausdorff Measure of the Cartesian Product of the Middle Third Cantor Set with Itself[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2006, 27(1): 1-4 |
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| Authors: | LIU Juan XU Shao-yuan |
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| Abstract: | In this paper we prove that for the Hausdorff measure of the Cartesian product of the middle third Cantor set with itself,the following estimation Hlog34(C×C)≤1.495901 has been obtained.As result of it, we improve the corresponding result. |
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| Keywords: | self-similar set Hausdorff dimension and measure Cantor set |
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