The Hausdorff Measure and Upper Convex Density of a Class of Self-Similar Sets on the Plane

The Hausdorff Measure and Upper Convex Density of a Class of Self-Similar Sets on the Plane
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发表时间:
2005
期刊:
Acta Mathematica Sinica
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通讯作者:
Zhou Lingnan;J. Mathematics
Zhou Lingnan;J. Mathematics
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其他
文献类型:
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作者:
Zhou Lingnan;J. Mathematics

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This paper deals with the exact computation of Hausdbrff measure of a class of self-similar sets on the plane. Under some conditions, we get the natural covering is the best one, and the Hausdorff measure of those sets are equal to (2s)~/(1/2), where s is its Hausdorff dimension.