Some Properties of Loeb-Sobolev Spaces

DOI10.1112/JLMS/S2-34.2.317zbMath0581.46024OpenAlexW2099324862MaRDI QIDQ3704413

Leif Arkeryd, Jöran Bergh

Publication date: 1986

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-34.2.317

zbMATH Keywords

embedding theoremtrace theoremFourier multiplierLoeb \(L_ p\)- spacesLoeb integralS-integrability angleSH-spacesSobolev spaces of functions with S- integrable derivativestraces are contained in classical Besov spaces

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) Nonstandard functional analysis (46S20) Nonstandard analysis (26E35)

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