Scaled-oscillation and regularity

DOI10.1090/S0002-9939-06-08290-6zbMath1100.26007OpenAlexW1839478878WikidataQ101410820 ScholiaQ101410820MaRDI QIDQ5469231

Marianna Csörnyei, Zoltán M. Balogh

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08290-6

zbMATH Keywords

Lipschitz functionsSobolev functionslower scaled-oscillationStepanov-type differentiability

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (13)

The Stepanov differentiability theorem in metric measure spaces ⋮ Scaled oscillation and level sets ⋮ Sets where \(\operatorname{Lip}f\) is infinite and \(\operatorname{lip}f\) is finite ⋮ Characterization of lip sets ⋮ Mapping analytic sets onto cubes by little Lipschitz functions ⋮ Dimension of images and graphs of little Lipschitz functions ⋮ Tangents of σ-finite curves and scaled oscillation ⋮ Strong one-sided density without uniform density ⋮ Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves ⋮ Big and little Lipschitz one sets ⋮ On sets where $\operatorname{lip} f$ is finite ⋮ Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$ ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

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