Commutators and interpolation methods
type: Item
instance of: scholarly article
title: Commutators and interpolation methods
zbMATH Open document ID: 0903.46069
DOI: 10.1007/BF02559707
author: Javier Soria
author: María J. Carro
author: Joan Cerdà
published in: Arkiv för Matematik
publication date: 1998-12-14T00:00:00Z
review text: Theorems on the boundedness of certain commutators have been obtained by various authors for different interpolation methods [for the real method see e.g. \textit{B. Jawerth, R. Rochberg} and \textit{G. Weiss}, Ark. Mat. 24, 191-219 (1986; Zbl 0655.41005)]. The present paper develops an abstract approach to these results, formulated in terms of interpolation functors, (almost) compatible pairs of interpolators and almost optimal elections. This should clarify the analogies between the definitions in the special cases (various examples are presented) and gives simplified proofs for several theorems. For related work of the authors on this topic see Lect. Notes Pure Appl. Math. 175, 125-133 (1996; Zbl 0896.46014), and Rev. Mat. Univ. Complutense Madr. 9, Spec. Iss., 91-108 (1996; Zbl 0871.46036).
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 894899
zbMATH Keywords: commutators
zbMATH Keywords: boundedness
zbMATH Keywords: interpolation functors
zbMATH Keywords: compatible pairs of interpolators
zbMATH Keywords: almost optimal elections
reviewed by: V. Losert
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 894899