Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 355, Issue 11, Pages 4683-4698Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-03-03354-3
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We give a Carleson measure characterization of the compact composition operators on Besov spaces. We use this characterization to show that every compact composition operator on a Besov space is compact on the Bloch space. Finally we give conditions that guarantee that the converse holds.
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