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Compact Sets of Holomorphic Mappings |
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| Authors: | Christopher Boyd,Se N Dineen |
| Affiliation: | Christopher Boyd,SeÁN Dineen |
| Abstract: | Compactness of locally bounded sets of holomorphic functions with infinite dimensional domains is connected, using Heinrich's density condition, to the Schwartz and semi-Montel properties on the domain. The metrizability of bounded subsets for various spaces of holomorphic functions is investigated. |
| Keywords: | Holomorphic function locally bounded sets density condition metrizable bounded sets |