Two measures on Cantor sets

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Author
Alpan, G.
Goncharov, A.
Date
2014-10
Source Title
Journal of Approximation Theory
Print ISSN
0021-9045
Electronic ISSN
1096-0430
Publisher
Elsevier
Volume
186
Pages
28 - 32
Language
English
Type
Article
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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.
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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