On functions with derivatives in a Lorentz space

DOI10.1007/s002290050197zbMath0976.26004OpenAlexW2049060790WikidataQ109967582 ScholiaQ109967582MaRDI QIDQ1805898

Janne Kauhanen, Pekka Koskela, Jan Malý

Publication date: 27 December 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050197

zbMATH Keywords

Sobolev spacesdifferentiabilityabsolute continuityLorentz spacesoscillation of functionsLusin N-property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

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