Complex interpolation of some quasi-Banach spaces

DOI10.1016/0022-1236(86)90023-6zbMath0586.46054OpenAlexW2032658025MaRDI QIDQ1071275

Mario Milman, Yoram Sagher, Michael Cwikel

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90023-6

zbMATH Keywords

quasi-Banach spacecomplex interpolation spacesGagliardo completionsinterpolating quasi-normsquasi-norm inequality

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Abstract interpolation of topological vector spaces (46M35)

Related Items

Stafney’s lemma holds for several “classical” interpolation methods, Interpolation between noncommutative martingale Hardy and BMO spaces: the case, On the connection between real and complex interpolation of quasi-Banach spaces, Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces, Unnamed Item, Interpolation of gentle spaces, Analytic families of multilinear operators, Interpolation between vector-valued Hardy spaces, Complex interpolation of quasi-Banach spaces with an A-convex containing space, Calderón-Lozanovskii interpolation on quasi-Banach lattices, Spectra of composition operators on the Bloch and Bergman spaces, Interpolation of Weighted and Vector-Valued Hardy Spaces, Notes on limits of Sobolev spaces and the continuity of interpolation scales, Complex interpolation of \(H^ p\) spaces on product domains, On interpolation of some quasi-Banach spaces, Interpolations of mixed-norm function spaces, Stability results on interpolation scales of quasi-Banach spaces and applications, Analytic Families of Operators on some Quasi-Banach Spaces, Fatorization of tent spaces and Hankel operators, The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations, Entropy numbers of tensor products of operators

Cites Work

• Unnamed Item
• Weighted Besov and Triebel spaces: Interpolation by the real method
• Abstract K and J spaces
• Parabolic maximal functions associated with a distribution. II
• Interpolation between \(H^ p \)spaces: The complex method
• Locally analytically pseudo-convex topological vector spaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Interpolation Between H p Spaces: The Real Method
• Intermediate spaces and interpolation, the complex method
• The Spectrum of an Operator on an Interpolation Space