THE HAUSDORFF MEASURE OF SIERPINSKI CARPETS BASING ON REGULAR PENTAGON

被引：0
|
作者：
Chaoyi Zeng
机构：
来源：
Analysis in Theory and Applications | 2012年 / 28卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Sierpinski carpet; Hausdorff measure; upper convex density;
D O I：
暂无
中图分类号：
O174.12 [测度论];
学科分类号：
摘要：
In this paper,we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E the self-similar sets generating in a unit regular pentagon on the plane.Under some conditions,we show the natural covering is the best one,and the Hausdorff measures of those sets are euqal to | E | s,where s=dim H E.
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页码：27 / 37
页数：11
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