On the weighted estimate of the Bergman projection

Czechoslovak Mathematical Journal

Benoit Florent Sehba¹ 

关键词: Bergman space;    reproducing kernel;    Toeplitz operator;    Békollé-Bonami weight;   

DOI  :  10.21136/CMJ.2018.0531-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown