Reducing subspace of analytic Toeplitz operators on the Bergman space
The main result of the paper is as follows. Let \(\phi\) be a finite Blaschke product. Then the analytic Toeplitz operator \(M_{\phi}\) on the Bergman space over the unit disk is always reducible, and the restriction of \(M_{\phi}\) on a reducing subspace is unitary equivalent to the Bergman shift.
scientific article; zbMATH DE number 2111530