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The Hausdorff measure of a class of Sierpinski carpets
Authors:Yahan Xiong
Institution:Department of Mathematics, Sichuan Normal University, Chengdu 610066, PR China
Abstract:In this paper we obtain the exact value of the Hausdorff measure of a class of Sierpinski carpets with Hausdorff dimension no more than 1 and show the fact that the Hausdorff measure of such Sierpinski carpets can be determined by coverings which only consist of basic squares.
Keywords:Hausdorff measure and dimension  Sierpinski carpet
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