Some remarks on the Boyd functions related to the admissible sequences

Lamby, Thomas; Nicolay, Samuel

doi:10.4171/zaa/1705

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Some remarks on the Boyd functions related to the admissible sequences

Lamby, Thomas; Nicolay, Samuel

2022 • In Zeitschrift für Analysis und ihre Anwendungen, 41, p. 211-227

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https://hdl.handle.net/2268/296171

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10.4171/zaa/1705

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Keywords :

Boyd functions; admissible sequences; interpolation spaces

Abstract :

[en] In this paper, we discuss the existing relations between the Boyd functions and the admissible sequences, with a particular interest to the Boyd indices. We introduce several results binding these notions and propose some constructions to obtain a Boyd function from an admissible sequence. We finally discuss the notion of generalized interpolation space based on these concepts.

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 :

Some remarks on the Boyd functions related to the admissible sequences

Publication date :

30 August 2022

Journal title :

Zeitschrift für Analysis und ihre Anwendungen

ISSN :

0232-2064

eISSN :

1661-4534

Publisher :

European Mathematical Society - EMS - Publishing House GmbH

Volume :

Pages :

211-227

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 02 November 2022

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Bibliography

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