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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 Hlog34(C×C)≤1.495901 has been obtained.As result of it, we improve the corresponding result.