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An Estimate of the Essential Norm of a Composition Operator from F(p,q,s) to ℬα in the Unit Ball
- Source :
- Journal of Inequalities and Applications, Vol 2010 (2010)
- Publication Year :
- 2010
- Publisher :
- SpringerOpen, 2010.
-
Abstract
- Let Bn be the unit ball of ℂn and ϕ=(ϕ1,…,ϕn) a holomorphic self-map of Bn. Let 0-1, α>0, and let Cϕ be the composition operator between the space F(p,q,s) and α-Bloch space ℬα induced by ϕ. This paper gives an estimate of the essential norm of Cϕ. As a consequence, a necessary and sufficient condition for the composition operator Cϕ to be compact from F(p,q,s) to ℬα is obtained.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10255834 and 1029242X
- Volume :
- 2010
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4cfb893902d6466883c525ee68597205
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2010/132970