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On a relationship between the Hausdorff measure and the density of the thinnest covering of Rn

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Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2020.124667

Abstract: Abstract In this paper, we prove a reciprocal relationship between the Hausdorff h-measure and the density of the thinnest covering of R n by translates of the unit ball. More precisely, we will prove μ… read more here.

Keywords: hausdorff measure; thinnest covering; density thinnest; relationship hausdorff ... See more keywords