Interpolation of abstract Cesàro, Copson and Tandori spaces

DOI10.1016/j.indag.2016.01.009zbMath1356.46019arXiv1502.05732OpenAlexW2962806689MaRDI QIDQ297984

Lech Maligranda, Karol Leśnik

Publication date: 20 June 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05732

zbMATH Keywords

\(K\)-method of interpolationCalderón-Lozanovskiǐ constructionCesàro function spacescomplex method of interpolationCopson function spacesTandori function 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) Interpolation between normed linear spaces (46B70)

Related Items (13)

Symmetrization, factorization and arithmetic of quasi-Banach function spaces ⋮ Embeddings between weighted Tandori and Cesàro function spaces ⋮ Isomorphic copies of \(l^\infty \) in Cesàro-Orlicz function spaces ⋮ Unnamed Item ⋮ Isomorphic Structure of Cesàro and Tandori Spaces ⋮ Rotundity and monotonicity properties of selected Cesàro function spaces ⋮ Local approach to order continuity in Cesàro function spaces ⋮ Isometric copies of \(l^\infty\) in Cesàro-Orlicz function spaces ⋮ Some remarks on level functions and their applications ⋮ Density of analytic polynomials in abstract Hardy spaces ⋮ Wiener-Beurling spaces and their properties ⋮ Isomorphic and isometric structure of the optimal domains for Hardy-type operators ⋮ Convolution in dual Cesàro sequence spaces

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