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2013/2014 Hausdorff and Packing Measures of Balanced Cantor Sets
Kathryn Hare, Ka-Shing Ng
Real Anal. Exchange 40(1): 113-128 (2013/2014).

Abstract

We estimate the \(h\)-Hausdorff and \(h\)-packing measures of balanced Cantor sets, and characterize the corresponding dimension partitions. This generalizes results known for Cantor sets associated with positive decreasing summable sequences and central Cantor sets.

Citation

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Kathryn Hare. Ka-Shing Ng. "Hausdorff and Packing Measures of Balanced Cantor Sets." Real Anal. Exchange 40 (1) 113 - 128, 2013/2014.

Information

Published: 2013/2014
First available in Project Euclid: 1 July 2015

zbMATH: 06848826
MathSciNet: MR3365393

Subjects:
Primary: 28A78 , 28A80

Keywords: Cantor sets , cut-out sets , dimension functions , gauge functions , Hausdorff measures , packing measures

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
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