<p>We mainly generalize the operators <i>K</i> and <i>K</i><sup><i>*</i></sup> on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators.</p>

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Dual H-Toeplitz Operators on the Harmonic Bergman Space

  • Ran Li,
  • Minghao Sun,
  • Di Bing

摘要

We mainly generalize the operators K and K* on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators.