- Research Article
- Open Access
An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball
© Zeng and Zhou. 2010
- Received: 29 June 2009
- Accepted: 17 February 2010
- Published: 2 March 2010
Let be the unit ball of and a holomorphic self-map of Let , , , , and let be the composition operator between the space and -Bloch space induced by . This paper gives an estimate of the essential norm of . As a consequence, a necessary and sufficient condition for the composition operator to be compact from to is obtained.
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