Convexity, concavity, type and cotype of Lorentz spaces

DOI10.1016/S0019-3577(98)80006-2zbMath0937.46027MaRDI QIDQ1279710

Lars-Erik Persson, Lech Maligranda, Anna Kaminska

Publication date: 26 May 1999

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

zbMATH Keywords

weight functionBanach latticeLorentz space\(q\)-concaveintegral inequalities

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) Banach lattices (46B42)

Related Items

Lack of isomorphic embeddings of symmetric function spaces into operator ideals, On Lorentz spaces \(\Gamma_{p,w}\), Interpolation between noncommutative martingale Hardy and BMO spaces: the case, On the James constant and \(B\)-convexity of Cesàro and Cesàro--Orlicz sequence spaces, Factorization theorems for multiplication operators on Banach function spaces, Monotonicity and rotundity of Lorentz spaces \(\varGamma_{p,w}\), Majorization revisited: comparison of norms in interpolation scales, Convexity and concavity constants in Lorentz and Marcinkiewicz spaces, Subprojective Banach spaces, The uniform Kadec–Klee property for Orlicz–Lorentz spaces, New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces, The weak topology on q-convex Banach function spaces

Cites Work

• A factorization theorem in Banach lattices and its application to Lorentz spaces
• Rearrangement invariant subspaces of Lorentz function spaces
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Uniform convexity in Lorentz sequence spaces
• Cotype and type of Lorentz function spaces
• Lorentz Spaces that are Isomorphic to Subspaces of L 1
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