A NOTE ON HAUSDORFF MEASURES OF SIERPINSKI CARPETS

作     者：Ma Dongkui Xu Zhiting 

作者机构：Department of Applied MathematicsSouth China University of TechnologyGuangzhou510640P R China Department of Applied MathematicsGuangdong University of TechnologyGuangzhou510090P R China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2001年第17卷第3期

页      面：85-89页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the Natural Science Foundation of South China University of Technology 

主　　题：Hausdorff measures Sierpinski carpet Hausdorff Measure South China Measures of range of 

摘      要：In this paper, regular Sierpinski carpet as a new concept is given. The exact value of Hausdorff measure of the regular Sierpinski carpet and the range of Hausdorff measures for all forms of generalized Sierpinski carpets is also obtained. For any one of the generalized Sierpinski carpets we show that there exists a regular carpet such that they have the same Hausdorff measures.