On convergence of the Berezin transforms
arXiv:2001.09448 · doi:10.1016/j.jmaa.2020.124295
Abstract
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.
minor changes and corrections. To appear in . Math. Anal. Appl