Conical upper density theorems and porosity of measures

Published 30 Jan 2017 in math.CA | (1701.08587v1)

Abstract: We study how measures with finite lower density are distributed around $(n-m)$-planes in small balls in $\mathbb{R}^n$. 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.

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