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

Published 12 Mar 2025 in math.CV and math.OA | (2503.09112v3)

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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