Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591671 | Journal of Functional Analysis | 2008 | 27 Pages |
Abstract
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols have the same modulus on the boundary of D as symbols whose composition operators are in various Schatten classes Sp with p>2; compact composition operators which are in no Schatten class but whose symbols have the same modulus on the boundary of D as symbols whose associated composition operators are in Sp for every p>2.
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