A generalization of the Shimogaki theorem

DOI10.4064/sm-71-1-69-83zbMath0496.46019OpenAlexW790885441MaRDI QIDQ3961320

Lech Maligranda

Publication date: 1981

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218411

zbMATH Keywords

rearrangement invariant spaceinterpolation theoremBoyd indicesLipschitz operatornon- increasing rearrangement

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)

Related Items (5)

Interpolation between 𝐿₁ and 𝐿_{𝑝},1<𝑝<∞ ⋮ Arazy-Cwikel property for quasi-Banach couples ⋮ Interpolation of linear operators ⋮ A family of equivalent norms for Lebesgue spaces ⋮ Boyd indices in generalized grand Lebesgue spaces and applications

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