Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
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 o...
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| Format: | article |
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2026
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| Online Access: | https://hdl.handle.net/11073/33237 |
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| Summary: | 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. Tƒ , where the symbol ƒ , has a truncated polar decomposition, that commute with a Toeplitz operator, whose symbol is the sum of a quasi-homogeneous function and a bounded analytic function. |
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