Let be the unit polydisc of , be a holomorphic self-map of , and a holomorphic function on . Let denote the space of all holomorphic functions with domain , the space of all bounded holomorphic functions on , and the Bloch space, that is, . We give necessary and sufficient conditions for the weighted composition operator induced by and to be bounded and compact from to the Bloch space .
"Weighted Composition Operators from to the Bloch Space on the Polydisc." Abstr. Appl. Anal. 2007 1 - 13, 2007. https://doi.org/10.1155/2007/48478