Schwarz lemma for circular domains and its applications
β Scribed by A. Sadullaev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1980
- Tongue
- English
- Weight
- 428 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note the following new version of the Schwarz lemma is proved: If f is a holomorphic function mapping a bounded convex domain D D of a complex Banach 1 Ε½ . space into a convex domain D D of another complex Banach space and f a s b, 2 then the image by f of the set of points in D D lying at a
Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D β E is a convex biholomorphic mapping with f (0) = 0 and df (0) = id, we have an upper bound of the growth of f . Also let D 1 , D 2 be bounded balanced pseudoconvex domains in complex normed spaces E 1 , E