3 papers
math.CV2025
Fixed points of the Berezin transform on Fock-type spaces
Ghazaleh Asghari, Zeljko Cuckovic, Sonmez Sahutoglu
We study the fixed points of the Berezin transform on the Fock-type spaces with the weight It is known that the Berezin transform is well-defined on th…
math.FA2025
Toeplitz operators on large vector-valued Fock spaces
Hicham Arroussi, Ghazaleh Asghari, Jani Virtanen
We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of genera…
math.FA2024
Schatten class Hankel operators on doubling Fock spaces and the Berger-Coburn phenomenon
Ghazaleh Asghari, Jani A. Virtanen, Zhangjian Hu
Using the notion of integral distance to analytic functions, we give a characterization of Schatten class Hankel operators acting on doubling Fock spaces on the complex plane and u…