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.

49 pages