# Estimations pondérées pour les opérateurs associés aux noyaux de Bergman-Besov

## Weighted estimates for operators associated to the Bergman-Besov kernels

David Békollè
University of Yaounde I
Cameroon

University of Yaounde I
Cameroon

Edgar L. Tchoundja
University of Yaounde I
Cameroon

Brett D. Wick
Washington University - St. Louis
USA

Publié le 1er juin 2022   DOI : 10.21494/ISTE.OP.2022.0838

### Keywords

We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of ℂN in terms of Békollè - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollè.

We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of ℂN in terms of Békollè - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollè.