Toeplitz operators and Hankel operators on a Bergman space with an exponential weight on the unit ball.

We consider the weighted Bergman space A ψ 2 of all holomorphic functions on B n square integrable with respect to an exponential weight measure e - ψ d V on B n , where ψ (z) : = 1 1 - | z | 2 . <graphic href="13324_2024_947_Article_Equ26.gif"></graphic> We characterize boundedness (or compactness) of Toeplitz operators and Hankel operators on A ψ 2 . [ABSTRACT FROM AUTHOR]