Schatten class weighted composition operators on generalized Fock spaces F_\phi^2(C^n)

Some characterizations for composition operators on the Fock spaces

“…In fact, this result has been obtained by Du [10] and Schatten class weighted composition operators on the Fock spaces have been studied by many authors (see [1], [16], [17], [22]). However, our different proof leads to the following interest fact:…”

Compact Weighted Composition Operators Between Generalized Fock Spaces

“…Recently, several authors have studied the boundedness and compactness of weighted composition operators on Fock spaces; for example see [1,2,3,5,18,21,23,24,25]. The authors of these papers used classical techniques which were used by many authors in Bergman and Hardy spaces, see for example [8,9,10,17,20,27,28].…”