Asymptotic values and the growth of analytic functions in spiral domains

Autores: J. E. Brennan, Alexander Volberg
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 37, Nº 2, 1993, págs. 465-477
Idioma: inglés
DOI: 10.5565/publmat_37293_16
Títulos paralelos:
- Valores asintóticos y crecimiento de funciones analíticas en dominios espirales
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Resumen
- In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ?-mollification and may be of use in other problems as well.