Rearrangement invariant subspaces of Lorentz function spaces

DOI10.1007/BF02761363zbMath0491.46027OpenAlexW3138255095MaRDI QIDQ1167381

Neal L. Carothers

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761363

zbMATH Keywords

rearrangement invariant Banach function spacedecreasing rearrangements of functionsLorentz weight spacessubmultiplicative weight

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)

Related Items (9)

On Lorentz spaces \(\Gamma_{p,w}\) ⋮ Lattice-embedding \(L^ p\) into Orlicz spaces ⋮ On the multiplier of a rearrangement invariant space with respect to the tensor product ⋮ Interpolation of positive polylinear operators in Calderón-Lozanovskij spaces ⋮ Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces ⋮ Equidistributed random variables in \(L_{p,q}\) ⋮ Monotonicity Properties of Lorentz Spaces ⋮ Convexity, concavity, type and cotype of Lorentz spaces ⋮ Lattice-embedding scales of \(L^p\) spaces into Orlicz spaces

Cites Work

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• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Uniform convexity in Lorentz sequence spaces
• On symmetric basic sequences in Lorentz sequence spaces
• Uniform convexity in function spaces
• Symmetric structures in Banach spaces
• Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces $L^p$

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