LAUSR

Abstract Let ϕ be an entire self-map of C n , and let u be an entire function on C n . A weighted composition operator induced by ϕ with weight u is given by ( u C ϕ f ) ( z ) = u ( z ) f ( ϕ ( z ) ) for z in C n and f is an entire function on C n . In this paper, we study weighted composition operators acting between two large weighted Fock spaces F ω p and F ω q . We characterize the bounded, compact and Schatten class membership operators u C ϕ acting from F ω p to F ω q when 0 p ≤ ∞ and 0 q ∞ . Our results use certain integral transforms that generalize the usual Berezin transform.