Holomorphic mappings of bounded type
✍ Scribed by Pablo Galindo; Domingo García; Manuel Maestre
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 601 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
Givena holomorphicmapping of bounded typeg E Hb(u, F), where U E is a balanced open subset, and E , F are complex B a n d spaces, let A : Hb(F) 4 Hb(U) be the homomorphism defined by A ( f ) = f o g for all f E Hb(F). We prove that: (a) for F having the Dunford-Pettis property, A is weakly compact i
## Abstract We study the bounded approximation property for spaces of holomorphic functions. We show that if __U__ is a balanced open subset of a Fréchet–Schwartz space or (__DFM__ )‐space __E__ , then the space ℋ︁(__U__ ) of holomorphic mappings on __U__ , with the compact‐open topology, has the b
Compactness of locally bounded sets of holomorphic functions with infinite dimensional domains is connected, using Heinrich's density condition, to the Schwartz and semi -Monte1 properties on the domain. The metrizability of bounded subsets for various spaces of holomorphic functions is investigated