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

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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… Click to show full 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.

Keywords: berezin transform; bergman projection; unit ball

Journal Title: Mathematische Zeitschrift
Year Published: 2017

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