Conical upper density theorems and porosity of measures

DOI10.1016/j.aim.2007.07.003zbMath1147.28004arXiv1701.08587OpenAlexW2019677805WikidataQ110084063 ScholiaQ110084063MaRDI QIDQ2469877

Ville Suomala, Antti Käenmäki

Publication date: 11 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08587

zbMATH Keywords

porositypacking measureconical upper densityfinite lower density

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items

Porosity in Conformal Dynamical Systems ⋮ Cones, rectifiability, and singular integral operators ⋮ Dynamics of the scenery flow and conical density theorems ⋮ Porosities of Mandelbrot percolation ⋮ Upper porous measures on metric spaces ⋮ Nonsymmetric conical upper density and 𝑘-porosity ⋮ Local conical dimensions for measures ⋮ Dynamics of the scenery flow and geometry of measures

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