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math.CV2024★ 1 cited
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 $φ(\ove…
math.FA2024
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…