Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols

Aissa Bouhali, Issam Louhichi and Abdelrahman Yousef

Journal of Mathematics, 2026, vol. 2026, 1-11

Abstract: 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 Tf, 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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7819269

DOI: 10.1155/jom/7819269

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