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      Two measures on Cantor sets

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      Author(s)
      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
      Permalink
      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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      • Department of Mathematics 653
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