A general interpolation theorem of Marcinkiewicz type

DOI10.2748/tmj/1178229401zbMath0469.46052OpenAlexW1989553903MaRDI QIDQ1156987

Hikosaburo Komatsu

Publication date: 1981

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229401

zbMATH Keywords

Peetre K functionalcompatible couples of quasi-normed Abelian groupsinterpolation theorem of Marcinkiewicz typereiteration theorem of Peetre-Sparr

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) 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)

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Cites Work

• Unnamed Item
• Weak interpolation in Banach spaces
• Fractional powers of operators. II: Interpolation spaces
• Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
• On L(p,q) spaces
• Interpolation of normed Abelian groups
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Interpolation of Quasi-Normed Spaces.

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