Berezin regularity of domains in C^n and the essential norms of Toeplitz operators

Zeljko Cuckovic, Sonmez Sahutoglu

For the open unit disc $\mathbb{D}$ in the complex plane, it is well known that if $\varphi \in C(\overline{\mathbb{D}})$ then its Berezin transform $\tilde{\varphi }$ also belongs to $C(\over…