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.
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More From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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