Reference : Generalized Besov spaces : from uniform characterizations to pointwise applications
Scientific congresses and symposiums : Unpublished conference/Abstract
Physical, chemical, mathematical & earth Sciences : Mathematics
Generalized Besov spaces : from uniform characterizations to pointwise applications
[fr] Espaces de Besov généralisé : de caractérisations uniformes à des applications ponctuelles
Loosveldt, Laurent mailto [Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
FNRS Group - Functional Analysis May 09-10 2019
du 09 mai 2019 au 10 mai 2019
Françoise Bastin, Céline Esser, Catherine Finet
[en] Besov spaces ; Generalized smoothness ; Multifractal analysis ; admissible sequences ; Interpolation spaces ; Partial Differintable Equation
[en] We will start the presentation by giving some alternative definitions for
the Besov spaces of generalized smoothness. In particular, links between those
spaces and Sobolev spaces will be explored. A generalized method of interpola-
tion will come out from this characterization.
Then, we will show how those spaces can help to determine the pointwise
regularity of some functions, using wavelet transform and the notion of preva-
Once done, links between this pointwise regularity and elliptic partial dif-
ferentiable equations will be discussed. This will generalize some results of
Calderón and Zygmund.
Fédération Wallonie Bruxelles. Fonds de la Recherche Scientifique - F.R.S.-FNRS
Researchers ; Professionals

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