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Some characterizations about Generalized Hölder-Zygmund Spaces Λ_{σ,N}^{α}(R^d)
Kreit, Damien; Nicolay, Samuel
2016
 

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Keywords :
Hölder spaces; Hölder exponent; Functional Analysis
Abstract :
[en] Generalized Hölder-Zygmund spaces $\Lambda_{\sigma, N}^{\alpha}(\R^{d})$ were recently introduced and are based on a generalization of Besov spaces. Under some conditions, generalized Hölder-Zygmund and Besov spaces are equal. It has been proved that most properties of classical Hölder-Zygmund spaces are held for spaces $\Lambda^{\sigma,\alpha}(\R^{d})$, which constitute a particular case of spaces $\Lambda_{\sigma, N}^{\alpha}(\R^{d})$ with $N_{j}=2^{j}$. The goal of the present document is to prove that most of these properties are kept for $\Lambda_{\sigma, N}^{\alpha}(\R^{d})$ spaces.
Disciplines :
Mathematics
Author, co-author :
Kreit, Damien ;  Université de Liège - ULiège > Doct. sc. (math. - Bologne)
Nicolay, Samuel  ;  Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Some characterizations about Generalized Hölder-Zygmund Spaces Λ_{σ,N}^{α}(R^d)
Alternative titles :
[fr] Quelques caractérisations des espaces de Hölder-Zygmund généralisés Λ_{σ,N}^{α}(R^d)
Publication date :
February 2016
Version :
Version en attente de soumission 02/2016
Number of pages :
39
Available on ORBi :
since 08 May 2016

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