Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (1): 37-43.

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Hausdorff measure of Sierpinski Sponge generated by normal tetrahedron(Chinese)

CHEN Ying-zhou1, GUI Yong-xin2, LI Wen-xia1   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. Department of Mathematics, Xianning College, Xianning Hubei, 437005, China;
  • Received:2007-03-05 Revised:2007-05-25 Online:2008-01-25 Published:2008-01-25
  • Contact: LI Wen-xia

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Abstract: In this paper, the Hausdorff measure of a class of self-similar sets in ${\mathbf R}^3$ is considered. The exact Hausdorff measures of those sets are obtained under some conditions.

Key words: Hausdorff measure, upper convex density, self-similar set, Hausdorff measure, upper convex density

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