[en] In this work we generalize the spaces ${T}_{u}^{p}$ introduced by Calderón and Zygmund using pointwise conditions emanating from generalized Besov spaces. We give conditions binding the functions belonging to these spaces and their wavelet coefficients. Next, we propose a multifractal formalism based on such spaces which generalizes the so-called wavelet leaders method and show that it is satisfied on a prevalent set.
Disciplines :
Mathématiques
Auteur, co-auteur :
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
Langue du document :
Anglais
Titre :
Generalized spaces of pointwise regularity: toward a general framework for the WLM
Date de publication/diffusion :
09 août 2021
Titre du périodique :
Nonlinearity
ISSN :
0951-7715
Maison d'édition :
Institute of Physics Publishing (IOP), Royaume-Uni
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