exit

Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] Weighted estimates for operators associated to the Bergman-Besov kernels

[Forthcoming] Estimations pondérées pour les opérateurs associés aux noyaux de Bergman-Besov


David Békollè
University of Yaounde I
Cameroon

Adriel R. Keumo
University of Yaounde I
Cameroon

Edgar L. Tchoundja
University of Yaounde I
Cameroon

Brett D. Wick
Washington University - St. Louis
USA



Published on 26 April 2022   DOI :

Abstract

Résumé

Keywords

Mots-clés

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.

Bergman-Besov space weighted inequalities Bergman-Besov projection

Bergman-Besov space weighted inequalities Bergman-Besov projection