Fatness and thinness of some general Cantor sets for doubling measures

Jiaojiao Yang

Chaos, Solitons & Fractals, 2016, vol. 83, issue C, 18-26

Abstract: In this paper, we consider some classes of general Cantor sets satisfying (αk)- regular condition and obtain necessary and sufficient conditions to characterize the fatness and thinness of the sets for doubling measures under suitable conditions. It is applied to classify some kinds of Cantor-type sets.

Keywords: (αn)-regular sets; Doubling measure; Fat set; Thin set (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:83:y:2016:i:c:p:18-26

DOI: 10.1016/j.chaos.2015.11.032

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