Luzin's condition (N) and modulus of continuity

DOI10.1515/acv-2013-0024zbMath1315.26008arXiv1309.3094OpenAlexW2962884091WikidataQ110234279 ScholiaQ110234279MaRDI QIDQ2018363

Thomas Zürcher, Pekka Koskela, Jan Malý

Publication date: 14 April 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3094

zbMATH Keywords

modulus of continuitySobolev-Orlicz spaceLuzin's condition (N)approximately Hölder continuous

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integration of real functions of several variables: length, area, volume (26B15) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

Sobolev homeomorphisms with gradients of low rank via laminates ⋮ Hausdorff measure of critical set for Luzin \(N\) condition ⋮ Hölder continuous Sobolev mappings and the Lusin N property ⋮ Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property

This page was built for publication: Luzin's condition (N) and modulus of continuity