摘要
We give a survey on the Berezin transform and its applications in operator theory. The focus is on the Bergman space of the unit disk and the Fock space of the complex plane. The Berezin transform is most effective and most successful in the study of Hankel and Toepltiz operators.
基金
Research partially supported by NNSF of China(11720101003)
NSF of Guangdong Province(2018A030313512)
Key projects of fundamental research in universities of Guangdong Province(2018KZDXM034)
STU Scientific Research Foundation(NTF17009).