Journal of Inequalities and Applications (Jan 2010)

An Estimate of the Essential Norm of a Composition Operator from <inline-formula> <graphic file="1029-242X-2010-132970-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-132970-i2.gif"/></inline-formula> in the Unit Ball

  • Zeng Hong-Gang,
  • Zhou Ze-Hua

Journal volume & issue
Vol. 2010, no. 1
p. 132970

Abstract

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Abstract 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.