The Morse-Sard theorem and Luzin \(N\)-property: a new synthesis for smooth and Sobolev mappings

DOI10.1134/S0037446619050148zbMath1444.26010OpenAlexW2978283406MaRDI QIDQ2282623

Alba Roviello, Mikhail V. Korobkov, Adele Ferone

Publication date: 8 January 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619050148

zbMATH Keywords

Hausdorff measureMorse-Sard theoremBessel potential spacesLuzin \(N\)-propertySobolev-Lorentz mappingsHölder 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) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (3)

The generalized Morse-Sard theorem ⋮ On some universal Morse-Sard type theorems ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property

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