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math.FA2025
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…
math.FA2024
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…