Order‐two density of sets and measures with non‐integral dimension

DOI10.1112/S0025579300011293zbMath0848.28002OpenAlexW2094491568MaRDI QIDQ4844775

O. B. Springer, Kenneth J. Falconer

Publication date: 27 October 1996

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300011293

zbMATH Keywords

densityRadon measurerectifiability of setsorder-two

Mathematics Subject Classification ID

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

Related Items (3)

Average densities of the image and zero set of stable processes ⋮ The average density of the path of planar Brownian motion ⋮ Symmetry properties of average densities and tangent measure distributions of measures on the line

Cites Work

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• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Wavelet transforms and order-two densities of fractals
• Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers
• Hausdorff Two-Dimensional Measure in 3-Space
• Hausdorff m Regular and Rectifiable Sets in n-Space
• The (φ, s) Regular Subsets of n-Space
• Density Ratios and (/phi, 1) Rectifiability in n-Space
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• On the fundamental geometrical properties of linearly measurable plane sets of points. II

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