Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$

DOI10.1090/S0002-9939-2012-11688-0zbMath1282.30013OpenAlexW2164504025MaRDI QIDQ2845870

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Publication date: 3 September 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11688-0

zbMATH Keywords

differentiabilitylinear dilatationquasiconformal mappingsscaled oscillation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Continuity and differentiation questions (26B05)

Related Items (9)

Sets where \(\operatorname{Lip}f\) is infinite and \(\operatorname{lip}f\) is finite ⋮ Characterization of lip sets ⋮ 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 ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

Cites Work

• Definitions of quasiconformality
• Lectures on \(n\)-dimensional quasiconformal mappings
• ACL homeomorphisms and linear dilatation
• Rings and Quasiconformal Mappings in Space
• Exceptional sets for the definition of quasiconformality
• Scaled-oscillation and regularity

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