OU, Yumeng; PETERMICHL, Stefanie; STROUSE, Elizabeth

Métadonnées

Afficher la notice complète

Licence d’utilisation du document

OU, Yumeng
Brown University

PETERMICHL, Stefanie
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Institut universitaire de France [IUF]

STROUSE, Elizabeth
Institut de Mathématiques de Bordeaux [IMB]

Langue

Document de travail - Pré-publication

Résumé en anglais

We consider iterated commutators of multiplication by a symbol function and tensor products of Hilbert or Riesz transforms. We establish mixed BMO classes of symbols that characterize boundedness of these objects in $L^p$. Little BMO and product BMO, big Hankel operators and iterated commutators are the base cases of our results. We use operator theoretical methods and existing profound results on iterated commutators for the Hilbert transform case, while the general result in several variables is obtained through the construction of a Journ\'e operator that models the behavior of the multiple Hilbert transform. Upper estimates for commutators with paraproduct free Journ\'e operators as well as weak factorisation results are proven.< Réduire

Mots clés en anglais

Commutators with bounded mean oscillation functions

Multi-parameter

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194484

Project ANR

Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251