Typical differentiability within an exceptionally small set

DOI10.1016/j.jmaa.2020.124317zbMath1458.26014arXiv1901.03133OpenAlexW3037998177MaRDI QIDQ776923

Michael Dymond

Publication date: 13 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03133

zbMATH Keywords

Lebesgue measureLipschitz functionuniversal differentiabilityunrectifiable and residual set

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Continuity and differentiation questions (26B05)

Related Items (1)

A dichotomy of sets via typical differentiability

Cites Work

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• Lipschitz functions with unexpectedly large sets of nondifferentiability points
• Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
• Probability with Martingales
• On the structure of universal differentiability sets

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