On convergence of the Berezin transforms

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.

arXiv commentminor changes and corrections. To appear in . Math. Anal. Appl

References in corpus (3)

• Axler-Zheng type theorem on a class of domains in C^n
• A local weighted Axler-Zheng theorem in ${\mathbb{C}}^n$
• The restriction operator on Bergman spaces