Optimal calderon space for Bessel potentials

DOI10.1134/S106456241406026XzbMath1309.42028OpenAlexW2134138505WikidataQ57339736 ScholiaQ57339736MaRDI QIDQ2254116

Haroske, Dorothee D., Mikhail L. Goldman

Publication date: 4 February 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241406026x

zbMATH Keywords

embeddingmodulus of continuityBesov spacesrearrangement invariant spacesLorentz spacesBessel potentialsCalderón spaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Kernel operators (47B34)

Related Items

Optimal Calderón spaces for generalized Bessel potentials, Optimal Calderon spaces for generalized Bessel potentials

Cites Work

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• Estimates for continuity envelopes and approximation numbers of Bessel potentials
• Optimal embeddings of generalized Bessel and Riesz potentials
• Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness
• Weighted Lorentz spaces and the Hardy operator
• On embeddings between classical Lorentz spaces