Classifying Cantor Sets by Their Fractal Dimensions

نویسندگان

  • CARLOS A. CABRELLI
  • KATHRYN E. HARE
  • Michael T. Lacey
چکیده

In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their h-Hausdorff and h-packing measures, for the family of dimension functions h, and characterize this classification in terms of the underlying sequences.

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تاریخ انتشار 2009