A lower bound criterion for iterated commutators - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Functional Analysis Année : 2014

A lower bound criterion for iterated commutators

Résumé

We consider iterated commutators of multiplication by a symbol function and smooth Calder on-Zygmund operators, described by Fourier multipliers of homogeneity 0. We establish a criterion for a collection of symbols so that the corresponding Calder on-Zygmund operators characterize product BMO by means of iterated commutators. We therefore ex- tend, in part, the line of one-parameter results following the work of Uchiyama and Li as well as the result in several parameters, concerning commutators with Riesz transforms by Lacey, Petermichl, Pipher, Wick.
Fichier principal
Vignette du fichier
CZO_mp_jfa_rev.pdf (252.68 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00924996 , version 1 (07-01-2014)

Identifiants

  • HAL Id : hal-00924996 , version 1

Citer

Laurent Dalenc, Stefanie Petermichl. A lower bound criterion for iterated commutators. Journal of Functional Analysis, 2014, 266 (8), pp.5300-5320. ⟨hal-00924996⟩
129 Consultations
271 Téléchargements

Partager

Gmail Facebook X LinkedIn More