Abstract and Applied Analysis

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

Stevo Stević

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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

Permanent link to this document
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


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