Addendum to ``The Kolmogorov-Riesz compactness theorem [Expo. Math. 28 (2010) 385-394]

DOI10.1016/j.exmath.2015.12.003zbMath1356.46022arXiv1508.07892OpenAlexW1933496155MaRDI QIDQ281916

Harald Hanche-Olsen, Helge Holden

Publication date: 11 May 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07892

zbMATH Keywords

Sobolev spacescompactnessKolmogorov-Riesz' theorem

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) Applications of functional analysis to differential and integral equations (46N20)

Related Items (3)

Inverse Scattering and Global Well-Posedness in One and Two Space Dimensions ⋮ An improvement of the Kolmogorov-Riesz compactness theorem ⋮ The Kolmogorov-Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces

Cites Work

• Unnamed Item
• The Kolmogorov-Riesz compactness theorem
• On some subspaces of Morrey–Sobolev spaces and boundedness of Riesz integrals

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