Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

DOI10.1002/MANA.201700487zbMath1423.46033OpenAlexW2810657444WikidataQ129606284 ScholiaQ129606284MaRDI QIDQ4557379

Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez

Publication date: 29 November 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/51224/1/Cobos111pre.pdf

zbMATH Keywords

compact bilinear operatorsinterpolation of compact bilinear operators among \(L_p\) spacescommutators of Calderón-Zygmund operatorsreal interpolation of quasi-Banach couples

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70) Multilinear and polynomial operators (47H60) Abstract interpolation of topological vector spaces (46M35)

Related Items (11)

Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Interpolation estimates of the measure of noncompactness for multilinear mappings ⋮ Weakly compact bilinear operators among real interpolation spaces ⋮ On interpolation of weakly compact bilinear operators ⋮ On compactness results of Lions-Peetre type for bilinear operators ⋮ On function spaces of Lorentz-Sobolev type ⋮ A compactness result of Janson type for bilinear operators ⋮ On compactness theorems for logarithmic interpolation methods ⋮ On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator ⋮ Compactness interpolation results for bilinear operators of convolution type and for operators of product type ⋮ Interpolation of compact bilinear operators

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