A bridge between Dubovitskiĭ-Federer theorems and the coarea formula

DOI10.1016/j.jfa.2016.10.031zbMath1416.58004arXiv1603.05858OpenAlexW2302258934MaRDI QIDQ350541

Piotr Hajłasz, Jan Kristensen, Mikhail V. Korobkov

Publication date: 7 December 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05858

zbMATH Keywords

Morse-Sard theoremcoarea formulaLuzin \(N\)-propertySobolev-Lorentz mappings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10) Hausdorff and packing measures (28A78) Differentiable maps on manifolds (58C25) Critical points of functions and mappings on manifolds (58K05)

Related Items

The generalized Morse-Sard theorem, On some universal Morse-Sard type theorems, On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings, Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property, The Morse-Sard theorem and Luzin \(N\)-property: a new synthesis for smooth and Sobolev mappings, The coarea inequality, Some remarks about the Morse-Sard theorem and approximate differentiability, Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

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