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)].

中文翻译：

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谐波伯格曼空间正交补上的双托普利兹算子

在本文中，我们刻画了作用于调和 Bergman 空间的正交补的对偶 Toeplitz 算子的有界性、紧致性和谱结构。由于 Stroethoff 和 Zheng 的论文 [ Trans. 阿米尔。数学。社会。, 354 , 2495–2520 (2002)]。