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arXiv · 1601.04240

Weighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in $\mathbb{C}^{n}$

Rob Rahm·Edgar Tchoundja·Brett D. Wick
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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 in $\mathbb{C}^n$. The estimates are in terms of the Bekolle-Bonami constant of the weight.

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Rob Rahm, Edgar Tchoundja, Brett D. Wick. 2016-01-17. Weighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in $\mathbb{C}^{n}$. https://doi.org/10.1007/s00209-016-1809-4

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