Density estimate from below in relation to a conjecture of A. Zygmund on Lipschitz differentiation

DOI10.5802/jep.211OpenAlexW3164087464WikidataQ122997097 ScholiaQ122997097MaRDI QIDQ2087375

Thierry De Pauw

Publication date: 27 October 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04730

zbMATH Keywords

Lebesgue measurenegligible setNikodým setderivation basisLipschitz differentiationZygmund conjecture

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15)

Cites Work

• Concentrated, nearly monotonic, epiperimetric measures in Euclidian space
• Curvature Measures
• On a conjecture of E. M. Stein on the Hilbert transform on vector fields
• Sets with Prescribed Projections and Nikodym Sets
• Measure Theory
• A Note on End-Sets
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