Superposition operators between the Bloch space and Bergman spaces
✍ Scribed by Venancio Álvarez; M. Auxiliadora Márquez; Dragan Vukotić
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 532 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0004-2080
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📜 SIMILAR VOLUMES
## Abstract We study the following two integral operators equation image where __g__ is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of these two operators between the __α__ ‐Bloch space __B^α^__ and the Besov space are discussed in this paper (
## Abstract We investigate Bergman and Bloch spaces of analytic vector‐valued functions in the unit disc. We show how the Bergman projection from the Bochner‐Lebesgue space __L~p~__(𝔻, __X__) onto the Bergman space __B~p~__(__X__) extends boundedly to the space of vector‐valued measures of bounded