singular integral operator; differentiable function; Boyd functions; pointwise regularity
Résumé :
[en] We generalize the T_u^p spaces introduced by Calderón and Zygmund and show that most of
the results obtained in their study of the pointwise estimates for solutions of elliptic partial
differential equations and systems can be generalized in this framework with Lp-conditions.
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 T_u^p spaces: On the trail of Calderón and Zygmund
Titre traduit :
[fr] Espace T_u^p spaces: sur la piste de Calderón et Zygmund
Date de publication/diffusion :
octobre 2020
Titre du périodique :
Dissertationes Mathematicae
ISSN :
0012-3862
eISSN :
1730-6310
Maison d'édition :
Institute of Mathematics, Polish Academy of Sciences, Varsovie, Pologne
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