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arXiv · 2611.01717

Algebraic properties of Toeplitz operators on annulus and multiply connected domains

Sayan Adhikari·Susmita Das
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Abstract

We study the Toeplitz operators on the Hardy space over the annulus and provide a complete characterization of them. Based on that, we single out a certain class of Toeplitz operators that satisfy the multiplicativity property and lead to a zero product theorem. We further extend the results for the general multiply-connected domain and prove the zero product theorem for Toeplitz operators on the Hardy space over such a domain.

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Sayan Adhikari, Susmita Das. 2026-11-01. Algebraic properties of Toeplitz operators on annulus and multiply connected domains. https://arxiv.org/abs/2611.01717

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