singular integral operator; differentiable function; Boyd functions; pointwise regularity
Abstract :
[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 :
Mathematics
Author, co-author :
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
Language :
English
Title :
Generalized T_u^p spaces: On the trail of Calderón and Zygmund
Alternative titles :
[fr] Espace T_u^p spaces: sur la piste de Calderón et Zygmund
Publication date :
October 2020
Journal title :
Dissertationes Mathematicae
ISSN :
0012-3862
eISSN :
1730-6310
Publisher :
Institute of Mathematics, Polish Academy of Sciences, Varsovie, Poland
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