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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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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
Divisions : Surrey research (other units)
Authors :
García, I
Date : 28 May 2012
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 24 Jan 2020 22:18

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