On continuity of functions with generalized derivatives

DOI10.3103/S1066369X18110087zbMath1426.46024OpenAlexW2902070182WikidataQ128898899 ScholiaQ128898899MaRDI QIDQ1735124

Aleksandr Sergeevich Romanov

Publication date: 28 March 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18110087

zbMATH Keywords

Sobolev spacesLorentz spaces\(\alpha\)-absolute continuity

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) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

• Unnamed Item
• On functions with derivatives in a Lorentz space
• The Hölder continuity of Sobolev functions on the hypersurfaces

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