We characterize the boundedness and compactness of the weighted composition operators acting between some Fock-type spaces. Motivated by some recent ideas by S. Steviić we also calculate the operator norm of some of these operators. Also we determine the form of the symbol which induces a bounded or compact composition operator between some Fock-type spaces.
Sei-ichiro Ueki. "Weighted composition operators on some function spaces of entire functions." Bull. Belg. Math. Soc. Simon Stevin 17 (2) 343 - 353, april 2010. https://doi.org/10.36045/bbms/1274896210