Some characterizations of generalized Hölder spaces

Kreit, Damien; Nicolay, Samuel

doi:10.1002/mana.201100291

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Some characterizations of generalized Hölder spaces

Kreit, Damien; Nicolay, Samuel

2012 • In Mathematische Nachrichten, 285 (17-18), p. 2157-2172

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https://hdl.handle.net/2268/128345

DOI
10.1002/mana.201100291

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Keywords :

Hölder; generalized; admissible sequence; généralisés; suite admissible

Abstract :

[en] In this paper, we show that the main properties of the usual Hölder spaces can be transposed in the setting of the Hölder spaces defined via admissible sequences. We give several alternative definitions of these spaces (in terms of polynomials, convolution, derivatives and Taylor's formula) as well as embedding conditions of these spaces.
[fr] Nous démontrons dans ce papier que les propriétés classiques des espaces de Hölder sont conservées pour les espaces de Hölder généralisés en terme de suite admissible. Nous donnons en particulier des définitions équivalentes de ces espaces ainsi que des conditions d'emboitement de tels espaces.

Disciplines :

Mathematics

Author, co-author :

Kreit, Damien ; Université de Liège - ULiège > Doct. sc. (math. - Bologne)

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

Language :

English

Title :

Some characterizations of generalized Hölder spaces

Publication date :

2012

Journal title :

Mathematische Nachrichten

ISSN :

0025-584X

eISSN :

1522-2616

Publisher :

Wiley - VCH Verlag GmbH & Co., Germany

Volume :

285

Issue :

17-18

Pages :

2157-2172

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

www.mn-journal.org

Available on ORBi :

since 04 August 2012

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