Dimension Functions of Cantor Sets

Ignacio García, Ursula Molter, Roberto Scotto


We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets.

Published: Proceedings of the American Mathematical Society, Vol 135 (2007), 3151-3161.

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