COMPOSITION OPERATOR ON BERS-TYPE SPACES

摘要

Necessary and sufficient conditions are established for a composition operator C f ＝ fo to be bounded or compact on the Bets-type space H∞α and the little Bers-type space H∞α. The boundedness and compactness of the composition operator C on A∞( )are characterized, which generalize the case of C on H∞α.