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Commuting Slant Toeplitz Operators on the Bergman Space (2504.01042v1)
Published 31 Mar 2025 in math.CV and math.FA
Abstract: This paper shows that on the Bergman space of the open unit disk, the slant Toeplitz operator $T_{p+\varphi}$ and $T_{p+\psi}$ commute if and only if $\varphi=\psi$ ,where $\varphi$ and $\psi$ are both bounded analytic functions, and $p$ is ananalytic polynomial.