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.
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 H^log4(C×C)≤1.495901 has been obtained. As result of it, we improve the corresponding result.
出处
《淮北煤炭师范学院学报(自然科学版)》
2006年第1期1-4,共4页
Journal of Huaibei Coal Industry Teachers College(Natural Science edition)
基金
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)~~