Schatten class operators on exponential weighted Bergman spaces

Abstract

Abstract In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces. For 0 < p < ∞ $0< p<\infty $ , we obtain sufficient and necessary conditions for Toeplitz and Hankel operators to belong to Schatten-p class by the averaging functions of symbols. For a continuous increasing convex function h, the Schatten-h class Toeplitz and Hankel operators are also characterized.

Keywords

• Exponential weighted Bergman spaces
• Toeplitz operators
• Hankel operators
• Schatten class