Compact composition operators on Besov spaces

Tjani, Maria

doi:10.1090/S0002-9947-03-03354-3

Compact composition operators on Besov spaces
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Trans. Amer. Math. Soc. 355 (2003), 4683-4698 Request permission

Abstract:

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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