K-Divisibility and a Theorem of Lorentz and Shimogaki

DOI10.2307/2046308zbMath0607.46046OpenAlexW4237830225MaRDI QIDQ3746338

Colin Bennett, Robert C. Sharpley

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2046308

zbMATH Keywords

Brudnyi-Krugljak theorem on the K-divisibility of Gagliardo couplesCalderón's theorem describing the Hardy-Littlewood-Pólya relation in terms of substochastic operatorsequimeasurable rearrangements of measurable functions

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 (6)

On the \(K\)-divisibility constant for some special finite-dimensional Banach couples ⋮ A characterization of the interpolation spaces of \(H^ 1\) and \(L^{\infty}\) on the line ⋮ Abstract Lorentz spaces and Köthe duality ⋮ Theoretical investigations of an information geometric approach to complexity ⋮ Calderón-Mityagin couples of Banach spaces related to decreasing functions ⋮ A geometrical approach to the \(K\)-divisibility problem

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