𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Compact Sets of Holomorphic Mappings

✍ Scribed by Christopher Boyd; SeÁN Dineen


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
516 KB
Volume
193
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


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.


📜 SIMILAR VOLUMES


Holomorphic mappings of bounded type
✍ Pablo Galindo; Domingo García; Manuel Maestre 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 601 KB
Application of a Khintchine Inequality t
✍ Klaus Floret; Mário C. Matos 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 341 KB

After proving the Khintchine inequality for the n-Rademacher functions of ARON and GLOBVENIK with constants independent from n E N, applications are given to the theory of polynomials and holomorphic functions between Banach spaces. In particular, the following result is proved: Every entire mapping

On an Exponential Law for Spaces of Holo
✍ Sten Bjon 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 218 KB 👁 1 views

The principal aim of this note is to improve an exponential law [4] for spaces of holoniorphic functions. We shall show that sequential completeness (instead of completeness) suffices for the target space. Incidentally we prove theorems which are interesting in their own right. Recall that a converg