Global density theorem for a Federer measure

DOI10.2748/tmj/1178227252zbMath0785.28003OpenAlexW2112934508MaRDI QIDQ1802557

Hiroshi Sato

Publication date: 17 June 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227252

zbMATH Keywords

metric spacedensityLebesgue measureRadon measuresself-similar measuresFederer measuresglobal density theorem

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Cites Work

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• Determining the absolutely continuous component of a probability distribution from its Fourier-Stieltjes transform
• A direct proof of van der Vaart's theorem
• Two singular measures can agree on balls
• Measures not approximable or not specifiable by means of balls