Ruhan Zhao
State University of New York at Brockport, Brockport NY, USA

We introduce a class of integral operators called Berezin type operators. It is a generalization of the Berezin transform, and has close relation to the Bergman-Carleson measures. We mainly study the boundedness and the compactness of Berezin type operators from a weighted Bergman space to a weighted Lebesgue space on the unit ball of $\mathbb C^n$. We also show that Berezin type operators are closely related to Toeplitz operators. This is a joint work with Gabriel Prajitura and Lifang Zhou.