Two measures on Cantor sets

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2014-10

Authors

Alpan, G.
Goncharov, A.

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Abstract

We give an example of Cantor-type set for which its equilibrium measure and the corresponding Hausdorff measure are mutually absolutely continuous. Also we show that these two measures are regular in the Stahl–Totik sense. ⃝c 2014 Elsevier Inc. All rights reserved.

Source Title

Journal of Approximation Theory

Publisher

Elsevier

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Keywords

Harmonic Measures, Hausdorff Measures, Cantor Sets

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http://hdl.handle.net/11693/12474

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.jat.2014.07.003

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Scholarly Publications - Mathematics

Language

English

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Article