Czechoslovak Mathematical Journal, Vol. 68, No. 2, pp. 497-511, 2018


On the weighted estimate of the Bergman projection

Benoit Florent Sehba

Received October 27, 2016.   First published February 8, 2018.

Abstract:  We present a proof of the weighted estimate of the Bergman projection that does not use extrapolation results. This estimate is extended to product domains using an adapted definition of Békollé-Bonami weights in this setting. An application to bounded Toeplitz products is also given.
Keywords:  Bergman space; reproducing kernel; Toeplitz operator; Békollé-Bonami weight
Classification MSC:  47B38, 30H20, 47B35, 42C40, 42A61


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Affiliations:   Benoit Florent Sehba, Department of Mathematics University of Ghana, P.O. Box LG 62, Legon, Accra, Ghana, e-mail: bfsehba@ug.edu.gh


 
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