Duality for logarithmic interpolation spaces when \(0

DOI10.1016/j.jmaa.2018.05.082zbMath1392.41001OpenAlexW2807004994MaRDI QIDQ1645132

Fernando Cobos, Blanca F. Besoy

Publication date: 28 June 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.082

zbMATH Keywords

dualityBesov spaceslogarithmic interpolation methodsMacaev operator spaces

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications, Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces, Optimal local embeddings of Besov spaces involving only slowly varying smoothness, On the structure of a limit class of logarithmic interpolation spaces, The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case, On compactness theorems for logarithmic interpolation methods, Duality for logarithmic interpolation spaces and applications to Besov spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups
• On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation
• Approximation spaces, limiting interpolation and Besov spaces
• On Besov spaces of logarithmic smoothness and Lipschitz spaces
• Abstract K and J spaces
• Real interpolation with logarithmic functors.
• Sharp embeddings of Besov spaces involving only logarithmic smoothness
• On an extreme class of real interpolation spaces
• Reiteration theorems for real interpolation and approximation spaces
• Weak interpolation in Banach spaces
• Approximation and entropy numbers of embeddings between approximation spaces
• Eigenvalue distribution of compact operators
• Limiting variants of Krasnosel'skiĭ's compact interpolation theorem
• Description of logarithmic interpolation spaces by means of the \(J\)-functional and applications
• On a class of interpolation spaces
• Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
• Sur les espaces d'interpolation; dualité.
• On the Lorentz-Marcinkiewicz Operator Ideal
• Interpolation with a parameter function.
• Representation Theorems for Some Operator Ideals
• Duality and Lorentz-Marcinkiewicz operator spaces.
• Hankel Operators on Weighted Bergman Spaces
• A function parameter in connection with interpolation of Banach spaces.
• On generalized Lorentz-Zygmund spaces
• Real Interpolation with Logarithmic Functors and Reiteration
• Remark on the Dual of an Interpolation Space.
• On more general Lipschitz spaces