✦ LIBER ✦

Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere

✍ Scribed by Daniel Suárez

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 338 KB
Volume: 183
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3710

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✦ Synopsis

We study the class of maps from the open unit disk into the Riemann sphere or into [& , + ] that can be continuously extended to the maximal ideal space of H . Several characterizations are given for these classes and the subclasses of meromorphic and harmonic functions in terms of cluster sets, spherical gradients, and Carleson measures.