Angular Derivatives of Holomorphic Maps in Infinite Dimensions

✍ Scribed by Kazimierz Włodarczyk; Alina Szałowska

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 302 KB
• Volume: 204
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0421

✦ Synopsis

In the Ž . generalized right half-planes and the unit balls contained in H and L L H, H , infinite-dimensional angular sets are defined, various new generalizations of the classical Pick᎐Julia theorem to infinite dimensions are proved, and conditions of Caratheodory᎐Fan type, guaranteeing the existence of angular limits and angular derivatives of holomorphic maps of these generalized right half-planes and unit balls, are established.