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(\…
Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in
Nazli Dogan, Sonmez Sahutoglu
We study compactness of Hankel and Toeplitz operators on Bergman spaces of convex Reinhardt domains in and we restrict the symbols to the class of functions that are…
On compactness of products of Toeplitz operators
Trieu Le, Tomas Miguel Rodriguez, Sonmez Sahutoglu
We study compactness of product of Toeplitz operators with symbols continuous on the closure of the polydisc in terms of behavior of the symbols on the boundary. For certain classe…
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…