Conical upper density theorems and porosity of measures

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Abstract

We study how measures with finite lower density are distributed around (n - m)-planes in small balls in Rn. We also discuss relations between conical upper density theorems and porosity. Our results may be applied to a large collection of Hausdorff and packing type measures. © 2007 Elsevier Inc. All rights reserved.

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Käenmäki, A., & Suomala, V. (2008). Conical upper density theorems and porosity of measures. Advances in Mathematics, 217(3), 952–966. https://doi.org/10.1016/j.aim.2007.07.003

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