On the Hausdorff Measure of a Class of Self-similar Sets

Soon-Mo Jung

doi:rae/1300906017

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Home > Journals > Real Anal. Exchange > Volume 24 > Issue 1 > Article

1998/1999 On the Hausdorff Measure of a Class of Self-similar Sets

Soon-Mo Jung

Real Anal. Exchange 24(1): 121-138 (1998/1999).

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Abstract

We develop a new combinatorial method to estimate Hausdorff measures of various self-similar sets. This method can be applied to the evaluation of Hausdorff measures which are induced by various Hausdorff functions including power functions. Moreover, a few examples for evaluations of the lower and upper bounds of Hausdorff measures of uniform Cantor sets are introduced.