THE HAUSDORFF MEASURE OF GENERALIZED SIERPINSKI CARPETS

被引：11
|
作者：
Zhu Yucan(Department of Mathematics Fuzhou University Fuzhou 350002 RPC)andLou Jun(Department of Scientific Calculation & Compute ApplicationZhong Shan UniversityGuangzhou 510275PRC)
机构：
来源：
ApproximationTheoryandItsApplications | 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).
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页码：13 / 18
页数：6
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