Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

Abstract

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 $H^2$ space.