Toeplitz operators on Bergman spaces induced by doubling weights on the unit ball of $\mathbb{C}^n$

Abstract

The boundedness and compactness of Toeplitz operator from $A_\omega^p$ to $A_\omega^q$ with doubling weights $\omega$ are studied in this paper. The characterizations of Schatten class Toeplitz operators and Volterra operators on $A_\omega^2$ are also investigated.