The Hausdorff Measure of a Generalized Sierpinski Carpet

被引：1

作者：

CUI Zhen-wen

机构：

来源：

Chinese Quarterly Journal of Mathematics | 2003年 / 01期

关键词：

fractal; Hausdorff measure; Sierpinski carpet;

D O I：

暂无

中图分类号：

O174.12 [测度论];

学科分类号：

070104 ;

摘要：

In this paper, first, we prove that the Sierpinski carpet E is equivalent to the set R. Then we define a mass distribution on R. Using a certain of mass distribution, we obtain the lower bound about the Hausdorff measure of R. Therefore the exact value of Hausdorff measure of E is given.

引用

页码：57 / 67

页数：11

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