Sonmez Sahutoglu

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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 $F_{m}^{2}$ with the weight $e^{- ∣ z ∣^{m}}, m > 0.$ 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 $I ¨ $ be a holomorphic self map of the bidisc that is Lipschitz on the closure. We show that the composition operator $C_{I ¨} $ is compact on the Bergman space if and only if $Ï(\…

math.CV2025

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in $C^{2}$

Nazli Dogan, Sonmez Sahutoglu

We study compactness of Hankel and Toeplitz operators on Bergman spaces of convex Reinhardt domains in $C^{2}$ and we restrict the symbols to the class of functions that are…

math.CV2024

Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in $C^{n}$

Tomas Miguel Rodriguez, Sonmez Sahutoglu

Let $I^c ◯$ be a bounded pseudoconvex domain in $C^{n}$ with Lipschitz boundary and $I ¨ $ be a continuous function on $I^c ◯$ . We show that the Toeplitz operator $T_{I ¨} $ wi…

Fixed points of the Berezin transform on Fock-type spaces

Compactness of composition operators on the Bergman space of the bidisc

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in C2

Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in Cn

Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in $C^{2}$

Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in $C^{n}$