Topological properties of the sequence spaces S-nu

[en] We define sequence spaces based on the distributions of the wavelet coefficients in the spirit of [S. Jaffard, Beyond Besov spaces, part I: Distributions of wavelet coefficients, J. Fourier Anal. Appl. 10 (2004) 221-246]. We study their topology and especially show that they can be endowed with a (unique) complete metric for which compact sets can be explicitly described and we study properties of this metric. We also give relationships with Besov spaces. (c) 2005 Elsevier Inc. All rights reserved.

Disciplines :

Mathematics

Author, co-author :

Aubry, Jean-Marie ; Paris 12 Creteil > LAMA > Analyse

Bastin, Françoise ; Université de Liège - ULiège > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes

Dispa, S.

Jaffard, Stéphane ; Paris 12 Créteil > LAMA > Analyse

Language :

English

Title :

Topological properties of the sequence spaces S-nu

Publication date :

01 September 2006

Journal title :

Journal of Mathematical Analysis and Applications

ISSN :

0022-247X

eISSN :

1096-0813

Publisher :

Academic Press Inc Elsevier Science, San Diego, United States - California

Volume :

321

Issue :

Pages :

364-387

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 19 November 2009

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Bibliography

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