Weighted estimates for the Berezin transform and Bergman projection on the unit ball

R Rahm, E Tchoundja, BD Wick - Mathematische Zeitschrift, 2017 - Springer
R Rahm, E Tchoundja, BD Wick
Mathematische Zeitschrift, 2017Springer
Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates
for the Bergman projection and Berezin transform and more general operators in weighted
Bergman spaces on the unit ball. The estimates are in terms of the Bekolle-Bonami constant
of the weight.
Abstract
Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Bergman spaces on the unit ball. The estimates are in terms of the Bekolle-Bonami constant of the weight.
Springer
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