Interpolation between 𝐿₁ and 𝐿_{𝑝},1<𝑝<∞

DOI10.1090/S0002-9939-04-07425-8zbMath1054.46017OpenAlexW1803500741MaRDI QIDQ4813716

Lech Maligranda, Serguei V. Astashkin

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07425-8

zbMATH Keywords

rearrangement invariant spaceinterpolation spaceBoyd indexoperators of weak typeoperators of strong type

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) Interpolation between normed linear spaces (46B70)

Related Items (11)

Arazy-Cwikel property for quasi-Banach couples ⋮ On some inequalities for Doob decompositions in Banach function spaces ⋮ Rosenthal inequalities in noncommutative symmetric spaces ⋮ Garsia–Rodemich spaces: Local maximal functions and interpolation ⋮ Boyd indices in generalized grand Lebesgue spaces and applications ⋮ Martingale inequalities in noncommutative symmetric spaces ⋮ Martingales and function spaces ⋮ Majorization, interpolation and noncommutative Khinchin inequalities ⋮ On symmetric spaces containing isomorphic copies of Orlicz sequence spaces ⋮ Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\) ⋮ ℓ₂-strictly singular operators on the predual of a hyperfinite von Neumann algebra

Cites Work

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• Interpolation of linear operators in the Köthe dual spaces
• Monotonicity properties of interpolation spaces
• The spectral radius of averaging operators
• Symmetric structures in Banach spaces
• A generalization of the Shimogaki theorem
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• Indices of Function Spaces and their Relationship to Interpolation
• Interpolation of Quasi-Normed Spaces.
• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )

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