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Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

Interpolation of compact bilinear operators among quasi-Banach spaces and applications
Authors: Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón;

Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

Abstract

AbstractWe study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that commutators of Calderón–Zygmund bilinear operators are compact provided that , and .

Country
Spain
Keywords

real interpolation of quasi-Banach couples, Compact bilinear operators, Commutators of Calder´on-Zygmund operators, Singular and oscillatory integrals (Calderón-Zygmund, etc.), interpolation of compact bilinear operators among \(L_p\) spaces, Interpolation between normed linear spaces, 1202 Análisis y Análisis Funcional, commutators of Calderón-Zygmund operators, Real interpolation of quasi-Banach couples, compact bilinear operators, Análisis funcional, 517.98, Teoría de operadores., Multilinear and polynomial operators, Abstract interpolation of topological vector spaces, Linear operators on function spaces (general), Linear operators defined by compactness properties, Interpolation of compact bilinear operators among Lp spaces., Espacios funcionales, Espacios vectoriales topológicos, Análisis funcional y teoría de operadores

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Top 10%
Green
bronze