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On packing measures and a theorem of Besicovitch

García, I and Shmerkin, P (2012) On packing measures and a theorem of Besicovitch arXiv.

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Abstract

Besicovitch showed that if a set is null for the Hausdorff measure associated to a given dimension function, then it is still null for the Hausdorff measure corresponding to a smaller dimension function. We prove that this is not true for packing measures. Moreover, we consider the corresponding questions for sets of non-$\sigma$-finite packing measure, and for pre-packing measure instead of packing measure.

Item Type: Article
Authors :
NameEmailORCID
García, IUNSPECIFIEDUNSPECIFIED
Shmerkin, Pp.shmerkin@surrey.ac.ukUNSPECIFIED
Date : 28 May 2012
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 17 May 2017 15:04
URI: http://epubs.surrey.ac.uk/id/eprint/835418

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