Weighted composition operators between Fock-type spaces in CN

摘要

Motivated by quite recent results by Ueki [22] the boundedness and compactness of the weighted composition operators acting between some Fock-type spaces in CN are characterized. We also study weighted composition operators on little weighted Fock-type spaces. Norm of some of these operators is calculated. In some cases we give some estimates for the essential norm of some of these operators.