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Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman
Bouhali, Aissa
Louhichi, Issam
Yousef, Abdelrahman
Date
2026-01
Advisor
Type
Article
Peer-Reviewed
Published version
Peer-Reviewed
Published version
Degree
Description
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. 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.