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arXiv · 2604.18650

Commuting Toeplitz operators with biharmonic symbols

Aissa Bouhali·Issam Louhichi·Abdelrahman Yousef
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Abstract

We investigate the commutant problem for Toeplitz operators on the Bergman space of the unit disk whose symbols belong to a subclass of biharmonic functions. We obtain a complete characterization of when two such Toeplitz operators commute. As a consequence, we derive a full description of normal Toeplitz operators with symbols in this class.

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Aissa Bouhali, Issam Louhichi, Abdelrahman Yousef. 2026-04-20. Commuting Toeplitz operators with biharmonic symbols. https://arxiv.org/abs/2604.18650

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