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An Estimate of the Essential Norm of a Composition Operator from
to
in the Unit Ball
Journal of Inequalities and Applications volume 2010, Article number: 132970 (2010)
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.
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Zeng, HG., Zhou, ZH. An Estimate of the Essential Norm of a Composition Operator from to
in the Unit Ball.
J Inequal Appl 2010, 132970 (2010). https://doi.org/10.1155/2010/132970
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DOI: https://doi.org/10.1155/2010/132970