The Kolmogorov-Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces

DOI10.1007/s13348-019-00262-5zbMath1464.46039arXiv1902.04786OpenAlexW3105241173MaRDI QIDQ785500

Cihan Unal, Ismail Aydin

Publication date: 7 August 2020

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

Full work available at URL: https://arxiv.org/abs/1902.04786

zbMATH Keywords

Sobolev spacescompactnesstotally bounded setweighted variable exponent amalgam 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) Compactness in Banach (or normed) spaces (46B50) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (7)

Inverse continuous wavelet transform in weighted variable exponent amalgam spaces ⋮ Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted \(p(.)\)-Laplacian ⋮ Matrix weighted Kolmogorov-Riesz's compactness theorem ⋮ Translation beyond Delsarte ⋮ Riesz-Kolmogorov type compactness criteria in function spaces with applications ⋮ A quantitative version of the Kolmogorov-Riesz theorem ⋮ Compactness criteria via Laguerre and Hankel transformations

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