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Hausdorff measures for a class of homogeneous cantor sets

Hausdorff measures for a class of homogeneous cantor sets We consider the homogeneous Cantor sets which are generalization of symmetric perfect sets, and give a formula of the exact Hausdorff measures for a class of such sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Hausdorff measures for a class of homogeneous cantor sets

Acta Mathematicae Applicatae Sinica , Volume 29 (1) – Mar 20, 2013

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Publisher
Springer Journals
Copyright
Copyright © 2013 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-013-0198-2
Publisher site
See Article on Publisher Site

Abstract

We consider the homogeneous Cantor sets which are generalization of symmetric perfect sets, and give a formula of the exact Hausdorff measures for a class of such sets.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 20, 2013

References