Interpolation of operators of weak type

DOI10.1007/BF02116975zbMath0438.46054OpenAlexW2042236206MaRDI QIDQ1141880

V. I. Dmitriev, Selim G. Krein

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf02116975

zbMATH Keywords

comparison theoremsweak interpolation propertynon-increasing rearrangementspace of measurable functionsoperator of weakened typePeetre K-operatorsquasi-additive operators of weak typeweakened interpolation property

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 (14)

Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces ⋮ Calderón-type theorems for operators with non-standard endpoint behavior on Lorentz spaces ⋮ Interpolation of linear operators ⋮ On products of Sobolev-Orlicz spaces ⋮ Introduction ⋮ Introduction ⋮ Functorial approach to interpolation of operators of weak type ⋮ On families of systems and deformations ⋮ On the approximation of stochastic partial differential equations i ⋮ Integral transforms connected with differential operators having singularities inside the interval ⋮ Spectral Analysis for an Indefinite Singular Sturm-Liouville Problem ⋮ Elementary reverse Hölder type inequalities with application to operator interpolation theory ⋮ SOLUTION ESTIMATES OF NONLINEAR VECTOR VOLTERRA–STIELTJES EQUATIONS ⋮ Convolutions of weakly sinchronous functions

Cites Work

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• On a class of interpolation spaces
• Interpolation of operators of weak type between rearrangement invariant function spaces
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• Stone Duality for Nominal Boolean Algebras with И
• 𝐿_{𝑝𝑞} interpolators and the theorem of Marcinkiewicz
• Some remarks on the Marcinkiewicz convexity theorem in the upper triangle
• Interpolation of Quasi-Normed Spaces.
• Shorter Notes: The Marcinkiewicz Interpolation Theorem
• A note on norms of compression operators on function spaces

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