Some equivalent definitions of Besov spaces of generalized smoothness

Loosveldt, Laurent; Nicolay, Samuel

doi:10.1002/mana.201800111

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Some equivalent definitions of Besov spaces of generalized smoothness

Loosveldt, Laurent; Nicolay, Samuel

2019 • In Mathematische Nachrichten, 292 (10), p. 2262-2282

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https://hdl.handle.net/2268/239996

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10.1002/mana.201800111

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Keywords :

Besov spaces; finite difference; generalized smoothness; real interpolation; Sobolev spaces

Abstract :

[en] In this paper, we present some alternative definitions of Besov spaces of general-ized smoothness, defined via Littlewood–Paley-type decomposition, involving weakderivatives, polynomials, convolutions and generalized interpolation spaces.

Disciplines :

Mathematics

Author, co-author :

Loosveldt, Laurent ; 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 equivalent definitions of Besov spaces of generalized smoothness

Publication date :

October 2019

Journal title :

Mathematische Nachrichten

ISSN :

0025-584X

eISSN :

1522-2616

Publisher :

Wiley - VCH Verlag GmbH & Co., Germany

Volume :

292

Issue :

Pages :

2262-2282

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 04 October 2019

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