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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball
- Source :
- Journal of Inequalities and Applications, Vol 2007 (2007)
- Publication Year :
- 2007
- Publisher :
- SpringerOpen, 2007.
-
Abstract
- Let BN be the unit ball in the N-dimensional complex space, for È, a holomorphic function in BN, and Õ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (CÈ,Õ)f=È(z)f(Õ(z)), where f∈H2(β,BN). This paper discusses the spectrum of CÈ,Õ when it is compact on a certain class of weighted Hardy spaces and when the composition map Õ has only one fixed point inside the unit ball.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10255834 and 1029242X
- Volume :
- 2007
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.965fa2aa7524b7ea4865900b0c6923e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2007/61313