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Porous measures on $\mathbb {R}^{n}$: Local structure and dimensional properties

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Publication:2758978
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DOI10.1090/S0002-9939-01-06161-5zbMath0994.28002OpenAlexW1724348985MaRDI QIDQ2758978

Esa Järvenpää, Maarit Järvenpää

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06161-5


zbMATH Keywords

packing dimensionporosityRadon measures


Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fractals (28A80) Hausdorff and packing measures (28A78)


Related Items

Porosities of Mandelbrot percolation ⋮ Conical upper density theorems and porosity of measures ⋮ Average homogeneity and dimensions of measures ⋮ Upper porous measures on metric spaces ⋮ Nonsymmetric conical upper density and 𝑘-porosity ⋮ A differentiable structure for metric measure spaces ⋮ Dynamics of the scenery flow and geometry of measures



Cites Work

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  • On dimension of porous measures
  • Deterministic and random aspects of porosities
  • A \(0\)-\(\frac12\) law for porosity of measures
  • On the Minkowski Dimension of Strongly Porous Fractal Sets in R n
  • Distribution of Sets and Measures Along Planes
  • Porosities and dimensions of measures
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