Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces

Abstract

In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs symbols f acting between two generalized Fock spaces Fφp, where 1<s≤∞. We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four cases.