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Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space

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In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement of the harmonic Bergman space. This generalizes the corresponding… Click to show full abstract

In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement of the harmonic Bergman space. This generalizes the corresponding results for dual Toeplitz operators on the orthogonal complement of the Bergman space due to Stroethoff and Zheng’s paper [Trans. Amer. Math. Soc., 354, 2495–2520 (2002)].

Keywords: bergman space; toeplitz operators; orthogonal complement; dual toeplitz

Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2021

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