Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 27–37
Abstract
In this paper, we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E − the self-similar sets generating in a unit regular pentagon on the plane. Under some conditions, we show the natural covering is the best one, and the Hausdorff measures of those sets are equal to $|E|^s$, where $ s = dim_{H}E$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2012.v28.n1.4
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 27–37
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Sierpinski carpet Hausdorff measure upper convex density.
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