The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilbert space as well as on the Hardy space.
"Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball." Abstr. Appl. Anal. 2010 1 - 14, 2010. https://doi.org/10.1155/2010/801264