Representations ofH∞(G) and invariant subspaces
✍ Scribed by Jörg Eschmeier
- Book ID
- 105206376
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 980 KB
- Volume
- 298
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
Let % be an inner function and let 4 be a Blaschke sequence in the unit disc. Denote by B the Blaschke product corresponding to 4. Geometric properties of the family [k % (\*, z)=(1&%(\*) %(z)Â(1&\* z)] \* # 4 in the Hardy space H 2 are studied. Some relationships between these geometric properties
In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant subspaces of the Segal-Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.