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《Pure and Applied Mathematics》 2003-03
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An elementary proof for the Hausdorff measure of some Sierpinski carpets

WU Jiongqi (Department of Math.,Zhangzhou Teachers College, Zhangzhou 363000,China)  
Based on the Mrightpolygon with the diameter d0 and an integer M≥3, a kind of generalized Sierpinski carpets with a contract radio 1∶k(k≥M is a real number) is constructed, and its Hausdorff measure is proved to be ds, where s=logkM.
【Key Words】: fractal Sierpinski carpet Hausdorff measure
【Fund】: 国家自然科学基金资助课题(19871068);; 福建省自然科学基金资助课题(F00018).
【CateGory Index】: O189.3
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【References】
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1 XU Shao-yuan(School of Mathematics and Computer Science,Gannan Teachers College,Ganzhou Jiagxi 341000,China);A New Sufficient and Necessary Condition Under Which Aself-Similar Set Has a Best-a.e.-Closed-Set Covering[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2007-03
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3 L I N Li - ping( Department of Mathematics , Fuzhou University , Fujian Fuzhou 350002 , China);On Hausdorff Measure of a Kind of Generalized Cantor Set[J];JOURNAL OF FUZHOU UNIVERSITY(NATURAL SCIENCES EDTION);1999-04
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5 ZENG Chao-yi (College of Mathematics and Information Technology, Hanshan Teachers College, Chaozhou 521041);The Necessary and Sufficient Conitions on the Hausdorff Measure of m + 1 Non-uniform Cantor Set[J];Chinese Journal of Engineering Mathematics;2006-01
6 CHEN Xiao-dan(School of Mathematics,CUIT,Chengdu 610225,China);Hausdorff measures of a class of Moran sets[J];Journal of Chengdu University of Information Technology;2009-05
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9 Huang Jinghua; Zhao Yanfen(Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China);The Hausdorff Measure of a Sierpinski - cube in R~3[J];JOURNAL OF HUBEI UNIVERSITY(NATURAL SCIENCE EDITION);1999-02
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