ON THE EXACT HAUSDORFF MEASURE OF A CLASS OF SELF-SIMILAR SETS SATISFYING OPEN SET CONDITION  

作　　者：Shaoyuan Xu Weiyi Su Zuoling Zhou 

机构地区：[1]Huaibei Coal Industry Teachers College, China [2]Nanjing University, China [3]Zhongshan University, China

出　　处：《Analysis in Theory and Applications》2008年第1期93-100,共8页分析理论与应用（英文刊）

基　　金：Supported in part by Education Ministry, Anhui province, China (No. KJ2008A028)

摘　　要：In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition （OSC）. As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition （OSC）. As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.

关 键 词：self-similar set Hausdorff measure and Hausdorff dimension open set condition 

分 类 号：O17[理学—数学]