Describes the commutant of Toeplitz operators with mixed symbol types, highlighting their mathematical characteristics.
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators T f , where the symbol f has a truncated polar decomposition, that commute with a Toeplitz operator, whose symbol is the sum of a quasihomogeneous function and a bounded analytic function.
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Bouhali et al. (2026) studied this question.
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