On generalized weighted composition operators acting between Fock-type spaces

Abstract

In this paper, we study essential norm and Schatten class membership of the generalized weighted composition operators acting on Fock-type spaces. An asymptotic estimate for the essential norm and Sp norm of the operators have been also provided. Moreover, we characterize the path-connected components of space of all bounded generalized weighted composition operators acting between Fock-type spaces. Mathematics Subject Classi_cation (2020): Primary: 47B32, 30H20; Secondary: 46E22, 46E20, 47B33.