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

2025/03/12 by Iqtaish, H., Louhichi, I., Yousef, A.
#Complex Variables (math.CV) #FOS: Mathematics #Operator Algebras (math.OA) #Primary 47B35 #Secondary 47L80

paper · doi:10.48550/arxiv.2503.09112

Abstract

In this paper, we provide a complete characterization of bounded Toeplitz operators Tf on the harmonic Bergman space of the unit disk, where the symbol f has a polar decomposition truncated above, that commute with T_z+g, for a bounded analytic function g.

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