Berezin transform and Toeplitz operators on weighted Bergman spaces induced by regular weights

José Ángel Peláez, Jouni Rättyä, Kian Sierra

Given a regular weight $\omega$ and a positive Borel measure $\mu$ on the unit disc $\mathbb{D}$, the Toeplitz operator associated with $\mu$ is $$ \mathcal{T}_μ(f)(z)=\int_{\mathbb{D}} f(ζ…