Journal
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Volume 62, Issue 1, Pages 1-19Publisher
AUSTRALIAN MATHEMATICS PUBL ASSOC INC
DOI: 10.1017/S0004972700018426
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We characterise the compact composition operators from any Mobius invariant Banach space to VMOA, the space of holomorphic functions on the unit disk U that have vanishing mean oscillation. We use this to obtain a characterisation of the compact composition operators from the Bloch space to VMOA. Finally, we study some properties of hyperbolic VMOA functions. We show that a function is hyperbolic VMOA if and only if it is the symbol of a compact composition operator from the Bloch space to VMOA.
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