Distribution of Sets and Measures Along Planes

DOI10.1112/jlms/s2-38.1.125zbMath0618.28005OpenAlexW2054332639MaRDI QIDQ3754846

Pertti Mattila

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-38.1.125

zbMATH Keywords

Hausdorff measureRadon measureenergy-integraldensity and porousity properties of sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

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Porosity in Conformal Dynamical Systems ⋮ On singular sets of \(c\)-concave functions ⋮ Cones, rectifiability, and singular integral operators ⋮ Dynamics of the scenery flow and conical density theorems ⋮ Fractal percolation, porosity, and dimension ⋮ Asymptotic porosity of planar harmonic measure ⋮ Dimension estimates for the boundary of planar Sobolev extension domains ⋮ Cardinal invariants of monotone and porous sets ⋮ Porosities of Mandelbrot percolation ⋮ Conical upper density theorems and porosity of measures ⋮ Porous measures on $\mathbb {R}^{n}$: Local structure and dimensional properties ⋮ Porosity in conformal infinite iterated function systems ⋮ Average homogeneity and dimensions of measures ⋮ Packing dimension and Ahlfors regularity of porous sets in metric spaces ⋮ Upper porous measures on metric spaces ⋮ Nonsymmetric conical upper density and 𝑘-porosity ⋮ Dynamics of the scenery flow and geometry of measures ⋮ Porosity properties of perturbed Cantor sets

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