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.
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E. Tchoundja’s visit to Washington University-St. Louis is supported by the Fulbright Scholars Program. B. D. Wick’s research supported in part by National Science Foundation DMS grants #1603246 and #1560955.
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Rahm, R., Tchoundja, E. & Wick, B.D. Weighted estimates for the Berezin transform and Bergman projection on the unit ball. Math. Z. 286, 1465–1478 (2017). https://doi.org/10.1007/s00209-016-1809-4
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DOI: https://doi.org/10.1007/s00209-016-1809-4