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
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通讯作者:
Zhou Lingnan;J. Mathematics
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作者:
Zhou Lingnan;J. Mathematics
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.