应用数学2012，Vol.25Issue(3)：631-637,7.
一类Sierpinski地毯的Hausdorff测度的估计
The Hausdorff Measure of a Class of Sierpinski Carpets
摘要
Abstract
Let Sr be the Sierpinski carpet with contractive ratio r(0. 250 ≤r≤ 0. 292). The main result of this paper is 21-s/2≤Hs(Sr)≤2s/2, where s =- logr4 and HS(Sr)denote S-dimensional Hausdorff measure of Sr.关键词
Hausdorff维数/Hausdorff测度/自相似集/Sierpinski地毯Key words
Hausdorff dimension/ Hausdorff measure/Self-similar set/ Sierpinski carpet分类
数理科学引用本文复制引用
许绍元,徐望斌,陈晓运..一类Sierpinski地毯的Hausdorff测度的估计[J].应用数学,2012,25(3):631-637,7.基金项目
国家自然科学基金项目(10961003) （10961003）
