单位圆盘上从加权Bergman空间作用到Hard空间上的Toeplitz算子

Toeplitz Operator from the Weighted Bergman Space to the Hard Space on the Unit Disk

摘要: 研究了单位圆盘$\mathbb{D}$ 上从加权Bergman空间到Hardy空间的Toeplitz算子，刻画了单位圆盘上p和q值不同时，从加权Bergman空间$A_{\alpha }^p$ 到Hardy空间$H^p$ 的Toeplitz算子的有界性和紧性。

Abstract: We study Toeplitz operators from weighted Bergman spaces to Hardy spaces in the unit disk of $\mathbb{D}$ . We characterize the boundedness and compactness of Toeplitz operators from weighted Bergman spaces $A_{\alpha }^p$ to Hardy spaces $H^p$ for the different values of p and q in the unit disk.