Logarithmic interpolation spaces between quasi-Banach spaces

DOI10.4171/ZAA/1311zbMath1146.46013OpenAlexW2069315078MaRDI QIDQ2471512

Luz M. Fernández-Cabrera, Antonio Manzano, Antón Martínez, Fernando Cobos

Publication date: 22 February 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1311

zbMATH Keywords

approximation numbersoperator spacesLorentz-Zygmund function spaceslogarithmic interpolation spacesreal interpolation with a parameter functionZygmund function spaces

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Interpolation between normed linear spaces (46B70)

Related Items (9)

On Besov spaces modelled on Zygmund spaces ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ Extrapolation estimates for entropy numbers ⋮ Limiting interpolation spaces via extrapolation ⋮ Morrey spaces, their duals and preduals ⋮ Nuclear embeddings of Besov spaces into Zygmund spaces ⋮ On an extreme class of real interpolation spaces ⋮ Hankel operators and the Dixmier trace on the Hardy space ⋮ Generalized quasi-Banach sequence spaces and measures of noncompactness

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