5 papers
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…
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(\…
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…
A geometric condition for the invertibility of Toeplitz operators on the Bergman space
Zeljko Cuckovic, Jari Taskinen
Invertibility of Toeplitz operators on the Bergman space and the related Douglas problem are long standing open problems. In this paper we study the invertibility problem under the…
On spectra of Hankel operators on the polydisc
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu
We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also c…