Geodesic
On the weighted estimate of the Bergman projection
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 497-511.

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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.
DOI : 10.21136/CMJ.2018.0531-16
Classification : 30H20, 42A61, 42C40, 47B35, 47B38
Keywords: Bergman space; reproducing kernel; Toeplitz operator; Békollé-Bonami weight 
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     title = {On the weighted estimate of the {Bergman} projection},
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     pages = {497--511},
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Sehba, Benoît Florent. On the weighted estimate of the Bergman projection. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 497-511. doi : 10.21136/CMJ.2018.0531-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0531-16/

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