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arXiv · 2609.14635

Commuting analytic and co-analytic Toeplitz operators on the harmonic Bergman space

Xianchi Tian·Jiawei Wang·Xianfeng Zhao
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Abstract

By constructing an appropriate quadratic form, we prove that if an analytic Toeplitz operator commutes with a co-analytic Toeplitz operator, then at least one of the symbols is constant. This resolves an open question posed by Choe and Lee in 1999.

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Xianchi Tian, Jiawei Wang, Xianfeng Zhao. 2026-09-13. Commuting analytic and co-analytic Toeplitz operators on the harmonic Bergman space. https://arxiv.org/abs/2609.14635

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