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
Abstract
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.