Characterization of rectifiability via Lusin-type approximation

DOI10.2140/APDE.2024.17.2109MaRDI QIDQ6596284

Andrea Marchese, Andrea Merlo

Publication date: 2 September 2024

Published in: Analysis \& PDE (Search for Journal in Brave)

zbMATH Keywords

differentiabilityLipschitz functionsLusin-type approximation

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

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• On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
• On the structure of \({\mathcal A}\)-free measures and applications
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Lusin type theorems for Radon measures
• Lipschitz functions with prescribed blowups at many points
• Rectifiable sets, densities and tangent measures
• Endpoint Fourier restriction and unrectifiability
• Lipschitz Functions on Submanifolds of Heisenberg Groups

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