Abstract and Applied Analysis
Volume 2010 (2010), Article ID 801264, 14 pages
doi:10.1155/2010/801264
Research Article

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

Stevo Stević

Mathematical Institute of the Serbian Academy of Science and Arts, Knez Mihailova 36/III, 11000 Beograd, Serbia

Received 26 September 2010; Accepted 26 October 2010

Academic Editor: Chaitan Gupta

Copyright © 2010 Stevo Stević. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.