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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.CV2025
Compactness of composition operators on the Bergman space of the bidisc
Timothy G. Clos, Zeljko Cuckovic, Sonmez Sahutoglu
Let be a holomorphic self map of the bidisc that is Lipschitz on the closure. We show that the composition operator is compact on the Bergman space if and only if $Ï(\…
math.CV2025
Pointwise lower bounds in growth spaces with little o conditions
Zeljko Cuckovic, Jari Taskinen
Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions and (or their derivatives) are known in several cases, like be…