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math.FA2025
Quasiconformal symbols and projected composition operators
Sinem Sönmez, Jari Taskinen
We study projected composition operators K_g with quasiconformal symbols g on weighted Bergman spaces on the open unit disc D. If the symbol were conformal, i.e.a Möbius transform…
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 Bergman-Toeplitz operators in periodic planar domains
Jari Taskinen
We study spectra of Toeplitz operators with periodic symbols in Bergman spaces on unbounded periodic planar domains , which are defined as the union of infinit…