Commutativity of H-Toeplitz Operators with Quasi-homogeneous Symbols on Dirichlet Space
The commutativity of H-Toeplitz operators with quasi-homogeneous symbols on the Dirichlet space was characterizes in this paper.When H-Toeplitz operators with different degrees of quasi-homogeneous symbols satisfying commutativity,there must be one of symbol functions at point 1 is 0.The H-Toeplitz operators with same degree quasi-homogeneous symbols must satisfy commutativity.These obtained results were different from the commutativity of H-Toeplitz operators with same symbols on the Bergman space.
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