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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), Journal of Inequalities and Applications, Vol 2007, Iss 1, p 061313 (2007)
- Publication Year :
- 2007
- Publisher :
- SpringerOpen, 2007.
-
Abstract
- Let be the unit ball in the -dimensional complex space, for , a holomorphic function in , and , a holomorphic map from into itself, the weighted composition operator on the weighted Hardy space is given by , where . This paper discusses the spectrum of when it is compact on a certain class of weighted Hardy spaces and when the composition map has only one fixed point inside the unit ball.
- Subjects :
- Unit sphere
Pure mathematics
Mathematics::Complex Variables
Composition operator
Applied Mathematics
lcsh:Mathematics
Spectrum (functional analysis)
Mathematical analysis
Holomorphic function
Hardy space
Fixed point
lcsh:QA1-939
Scale space implementation
symbols.namesake
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Complex space
symbols
Data_FILES
Discrete Mathematics and Combinatorics
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10255834 and 1029242X
- Volume :
- 2007
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....cfb38d2d4b3f0d3e40597077b512c133