descriptionPublicationkeyboard_double_arrow_right Article 11 Sep 2017 English Publisher:Springer Science and Business Media LLCJournal:Journal of Fourier Analysis and Applications, volume 24, pages 1,181-1,203 (issn: 1069-5869, eissn: 1531-5851,

Authors: Fernández Cabrera, Luz M.; Martínez Martínez, Antonio;

doi: 10.1007/s00041-017-9561-7

handle: 11093/5981

Real Interpolation of Compact Bilinear Operators

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Abstract

We establish an analog for bilinear operators of the compactness interpolation result for bounded linear operators proved by Cwikel and Cobos, Kühn and Schonbek. We work with the assumption that : (A0+ A1)×(B0+ B1) −→ E0+E1 is bounded, but we also study the case when this does not hold. Applications are given to compactness of convolution operators and compactness of commutators of bilinear Calderón–Zygmund operators.

Ministerio de Economía y Competitividad | Ref. MTM2013-42220-P

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Complutense University of Madrid
Spain
Universidade de Vigo
Spain

Keywords

1202 Análisis y Análisis Funcional

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