Hyponormal block Toeplitz operators with non-harmonic symbols on the weighted Bergman space
Guangyang Fu, Jiang Zhou
Abstract
In this paper, we discuss hyponormal block Toeplitz operators $T_Φ$ over the vector-valued weighted Bergman space $A_α^2\left(\mathbb{C}^n\right)$. And two conditions about hyponormal block Toeplitz operators $T_Φ$ on $A_α^2\left(\mathbb{C}^n\right)$ were discussed separately, where $ Φ(z)=A z^p \bar{z}^q + B z^s \bar{z}^t $, $A,B$ are any n-order complex square matrices.