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Dominated compactness theorem in Banach function spaces and its applications

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Publication:1042645
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DOI10.1007/s11785-008-0072-zzbMath1186.47017OpenAlexW2122868153MaRDI QIDQ1042645

Humberto Rafeiro, Stefan G. Samko

Publication date: 14 December 2009

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0072-z

zbMATH Keywords

integral operatorBanach function spacecompact operatorspotential operatorvariable exponent Lebesgue spaceregular operatorcompact majorantKrasnoselsky theorem


Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Applications of operator theory to differential and integral equations (47N20) Linear operators on function spaces (general) (47B38) Linear operators on Banach algebras (47B48)


Related Items

Translation beyond Delsarte, From Arzelà-Ascoli to Riesz-Kolmogorov, Compactness criteria via Laguerre and Hankel transformations, Two-weighted Hardy operators in $L^{p(\cdot )}$ spaces and applications



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