On the connection between real and complex interpolation of quasi-Banach spaces

DOI10.1016/S0007-4497(98)80075-4zbMath0953.46037OpenAlexW2019916929WikidataQ127861672 ScholiaQ127861672MaRDI QIDQ1383261

Jaak Peetre, Fernando Cobos, Lars-Erik Persson

Publication date: 28 September 2000

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(98)80075-4

zbMATH Keywords

quasi-Banach spacesSchatten classescomplex interpolationfunction spacesBanach couples

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (20)

Interpolation of generalized Morrey spaces ⋮ On products of noncommutative symmetric quasi Banach spaces and applications ⋮ On interpolation of Banach algebras and factorization of weakly compact homomorphisms ⋮ Interpolation of Morrey-Campanato and related smoothness spaces ⋮ Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces ⋮ Complex interpolation of smoothness Morrey subspaces ⋮ Complex interpolation of various subspaces of Morrey spaces ⋮ THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR ⋮ Complex interpolation of -spaces ⋮ Interpolation of gentle spaces ⋮ Calderon's Complex Interpolation of Morrey Spaces ⋮ Calderón's first and second complex interpolations of closed subspaces of Morrey spaces ⋮ On the relationship between \(\mathrm{AK}\)-stability and \(\mathrm{BMO}\)-regularity ⋮ Complex interpolation of predual spaces of general local Morrey-type spaces ⋮ Complex interpolation of the predual of Morrey spaces over measure spaces ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ Interpolations of mixed-norm function spaces ⋮ Real interpolation of weighted tent spaces ⋮ Complex interpolation of vanishing Morrey spaces ⋮ COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES

Cites Work

• Complex interpolation of some quasi-Banach spaces
• Schatten-von Neumann classes of multilinear forms
• Complex interpolation of quasi-Banach spaces with an A-convex containing space
• The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\)
• Interpolation between \(H^ p \)spaces: The complex method
• Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
• Locally analytically pseudo-convex topological vector spaces
• Interpolation Between H p Spaces: The Real Method
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