Relatively compact sets in variable-exponent Lebesgue spaces

DOI10.1215/17358787-2017-0039zbMath1396.46026OpenAlexW2778407230MaRDI QIDQ1751641

Przemysław Górka, Rovshan A. Bandaliyev

Publication date: 25 May 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1513674117

zbMATH Keywords

Riesz-Kolmogorov theoremtotally boundedmetric measure spacesLebesgue spaces with variable exponent

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) Compactness in Banach (or normed) spaces (46B50)

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Embeddings of the fractional Sobolev spaces on metric-measure spaces, Compactness in the spaces of variable integrability and summability, Matrix weighted Kolmogorov-Riesz's compactness theorem, On relatively compact sets in quasi-Banach function spaces, Characterizing compact families via the Laplace transform, Relatively compact sets in variable exponent Morrey spaces on metric spaces, Weak compactness in variable exponent spaces, Precompact sets in Bochner-Lebesgue spaces with variable exponent, Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces, The Kolmogorov-Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces, Banach function spaces on locally compact groups

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