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arXiv · 2503.09112

On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space

H. Iqtaish·I. Louhichi·A. Yousef
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Abstract

In this paper, we provide a complete characterization of bounded Toeplitz operators $T_f$ on the harmonic Bergman space of the unit disk, where the symbol $f$ has a polar decomposition truncated above, that commute with $T_{z+\bar{g}}$, for a bounded analytic function $g$.

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H. Iqtaish, I. Louhichi, A. Yousef. 2025-03-12. On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space. https://arxiv.org/abs/2503.09112

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