Luzin's condition (N) and Sobolev mappings

DOI10.4171/RLM/639zbMath1257.26010WikidataQ110125040 ScholiaQ110125040MaRDI QIDQ1932679

Jan Malý, Pekka Koskela, Thomas Zürcher

Publication date: 21 January 2013

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

area formulaSobolev mappingsLuzin's condition (N)change of variables in integral

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25)

Related Items (8)

Higher order Sobolev homeomorphisms and mappings and the Lusin \((N)\) condition ⋮ Absolutely continuous mappings on doubling metric measure spaces ⋮ Absolute continuity in higher dimensions ⋮ Hausdorff measure of critical set for Luzin \(N\) condition ⋮ Regularity and modulus of continuity of space-filling curves ⋮ Construction of W2,n(Ω) function with gradient violating Lusin (N) condition ⋮ Generalized dimension estimates for images of porous sets in metric spaces ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property

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