Toeplitz operators on Bergman spaces with exponential weights.

In this paper, we focus on the weighted Bergman spaces A φ p in D with φ ∈ W 0 . We first give characterizations of those finite positive Borel measures µ in D such that the embedding A φ p ⊂ L μ q is bounded or compact for 0 < p , q < ∞. Then we describe bounded or compact Toeplitz operators T μ from one Bergman space A φ p to another A φ q for all possible 0 < p , q < ∞. Finally, we characterize Schatten class Toeplitz operators on A φ 2 . [ABSTRACT FROM AUTHOR]