Holomorphic mappings of domains in operator spaces
β Scribed by Lawrence A. Harris
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 716 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Throughout this paper D will be a bounded domain in C" and k, will be its Kobayashi distance. In [ 1 ] Abate introduced the following notion of horospheres in D. For q,~ D, XE~D, and R>O the small horosphere Ezo(.~, R) and the big horosphere F,,(x, R) of center x, pole z0 and radius R are defined by
Q. The conditions on the weights are expressed in terms of the hyperbolic metric in Corollary 3.2 and in terms of the Euclidean metric in Corollary 4.1. We denote IN = { 1,2,. . . } and IN0 = {0,1, . . . } . Let D denote the open unit disk of Q: and Q: oo the extended complex plane. q, denotes the