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  • Research Article
  • Open Access

An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball

Journal of Inequalities and Applications20102010:132970

  • Received: 29 June 2009
  • Accepted: 17 February 2010
  • Published:


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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Authors’ Affiliations

Department of Mathematics, Tianjin University, Tianjin, 300072, China