Interpolation with a function parameter from the category point of view

Lamby, Thomas; Nicolay, Samuel

doi:10.1016/j.jfa.2023.110249

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Article (Scientific journals)

Interpolation with a function parameter from the category point of view

Lamby, Thomas; Nicolay, Samuel

2024 • In Journal of Functional Analysis, 286 (3), p. 110249

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https://hdl.handle.net/2268/309554

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10.1016/j.jfa.2023.110249

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Keywords :

Generalized real interpolation; Functors

Abstract :

[en] We generalize here the notion of interpolation space of given exponent by replacing this exponent with Boyd functions. In particular, this approach leads to the usual interpolation method with a function parameter. We present some results in this general setting. Some are well-known, others not so well.

Disciplines :

Mathematics

Author, co-author :

Lamby, Thomas ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

Interpolation with a function parameter from the category point of view

Publication date :

February 2024

Journal title :

Journal of Functional Analysis

ISSN :

0022-1236

eISSN :

1096-0783

Publisher :

Elsevier BV

Volume :

286

Issue :

Pages :

110249

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0022123623004068?httpAccept=text/xml

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

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since 06 December 2023

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