On the weighted estimate of the Bergman projection

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2018

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Springer New York LLC

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. © 2018, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.

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30H20, 42A61, 42C40, 47B35, 47B38, Bergman space, Békollé-Bonami weight, Reproducing kernel, Toeplitz operator

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http://ugspace.ug.edu.gh/handle/123456789/24264

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Department of Mathematics

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