THE HAUSDORFF MEASURE OF GENERALIZED SIERPINSKI CARPETS

被引：11

作者：

Zhu YucanDepartment of Mathematics Fuzhou University Fuzhou RPCandLou JunDepartment of Scientific Calculation Compute ApplicationZhong Shan UniversityGuangzhou PRC ^{[350002
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机构：

来源：

Approximation Theory and Its Applications | 2000年 / 02期

关键词：

Math; THE HAUSDORFF MEASURE OF GENERALIZED SIERPINSKI CARPETS;

D O I：

暂无

中图分类号：

O174.41 [逼近论];

学科分类号：

070104 ;

摘要：

Let 0<a<1/2,T(a,1) (x) =ax and T(a,2) (x) =ax+ 1 -a,and let Ka be a unique nonempty compact subset of R satisfying Ka=T(a,1)(Ka)∪T(a,2)(Ka). If1/4<a<1/2,then the Hausdorff measure of Ka×Ka is strictly less than 2(loga2), If0<a≤1/4,then the Hausdorff measure of Ka×Ka is equal to 2(-loga2).

引用

页码：13 / 18

页数：6