## Abstract and Applied Analysis

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

Stevo Stević

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 801264, 14 pages.

Dates
First available in Project Euclid: 12 August 2011

https://projecteuclid.org/euclid.aaa/1313170922

Digital Object Identifier
doi:10.1155/2010/801264

Mathematical Reviews number (MathSciNet)
MR2739686

Zentralblatt MATH identifier
1207.47022

#### Citation

Stević, Stevo. Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball. Abstr. Appl. Anal. 2010 (2010), Article ID 801264, 14 pages. doi:10.1155/2010/801264. https://projecteuclid.org/euclid.aaa/1313170922