Absolutely summing Carleson embeddings on Hardy spaces
Résumé
We consider the Carleson embeddings of the classical Hardy spaces (on the disk) into a L p (µ) space, where µ is a Carleson measure on the unit disk. This includes the case of composition operators. We characterize such operators which are r-summing on H p , where p > 1 and r ≥ 1. This completely extends the former results on the subject and solves a problem open since the early seventies. Mathematics Subject Classification. Primary: 47B33 – Secondary: 28A12; 30C85; 31A15; 46E20; 46E22; 47B06
Domaines
Analyse fonctionnelle [math.FA]
Origine : Fichiers produits par l'(les) auteur(s)