Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (6): 1609-1614.

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Slant Toeplitz Operators on  Harmonic Bergman Space

CUI Puyu, ZHA Lihua   

  1. School of Mathematics, Liaoning Normal University, Dalian 116029, Liaoning Province, China
  • Received:2025-01-26 Online:2025-11-26 Published:2025-11-26

Abstract: Firstly, we introduced the W operator on harmonic Bergman space and gave the concept of slant Toeplitz operators.  Secondly, we studied the spectral structure and compactness of the W operator, and gave the integral representation of slant Toeplitz operators, which  provided a theoretical basis for subsequent research on  the compactness and boundedness of slant Toeplitz operators.

Key words: harmonic Bergman space, slant Toeplitz operator, integral representation

CLC Number: 

  • O177.1