关键词: 调和Bergman空间, 斜Toeplitz算子, 积分表示

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