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

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Cobos, Fernando and Luz M., Fernández-Cabrera and Martínez, Antón (2018) Interpolation of compact bilinear operators among quasi-Banach spaces and applications. Mathematische Nachrichten . ISSN 1522-2616

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Official URL: https://onlinelibrary.wiley.com/journal/15222616




Abstract

We 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 S : Lp × Lq -? Lr are compact provided that 1/2 < r < 1, 1 < p, q < 8 and 1/p + 1/q = 1/r.


Item Type:Article
Uncontrolled Keywords:Análisis funcional, espacios funcionales, espacios vectoriales topológicos, teoría de operadores.
Palabras clave (otros idiomas):Compact bilinear operators, real interpolation of quasi-Banach couples, commutators of Calder´on-Zygmund operators, interpolation of compact bilinear operators among Lp spaces.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:51224
Deposited On:12 Feb 2019 16:01
Last Modified:13 Feb 2019 08:45

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