Interpolation of 2 d Banach Spaces and the Calderón Spaces X (E )

DOI10.1112/plms/s3-56.1.143zbMath0662.46077OpenAlexW2124156677MaRDI QIDQ3811211

Dicesar Lass Fernandez

Publication date: 1988

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-56.1.143

zbMATH Keywords

reiteration theoremequivalence of the K and J interpolation methods in the real interpolation of \(2^ d\) Banach space valued Banach lattices

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Abstract interpolation of topological vector spaces (46M35)

Related Items (10)

Finite dimensional decompositions with \((p,q)\)-estimates in interpolation spaces for families ⋮ Interpolation theorem for anisotropic net spaces ⋮ On duality between K- and J-spaces ⋮ A Duality Theorem for Interpolation Methods Associated to Polygons ⋮ On interpolation of function spaces by methods defined by means of polygons ⋮ Multipliers of double Fourier-Haar series ⋮ Interpolation of compactness using Aronszajn-Gagliardo functors ⋮ Quantitative approach to weak noncompactness in the polygon interpolation method ⋮ Interpolation of weighted Orlicz-valued function spaces ⋮ The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1^2\) and net \(N_{\bar p,\bar q}(M)\) spaces]

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