On convergence of the Berezin transforms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:491

Article

Gogus, Nihat Gokhan¹  Sahutoglu, Sonmez² 

[1] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey

[2] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA

关键词: Bergman kernel;    Berezin transform;    Ramadanov's Theorem;   

DOI  :  10.1016/j.jmaa.2020.124295

来源: Elsevier

【 摘 要 】

We prove approximation results about sequences of Berezin transforms of finite sums of finite product of Toeplitz operators (and bounded linear maps, in general) in the spirit of Ramadanov and Skwarczynski Theorems that are about convergence of Bergman kernels. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free