On the angular limits of Bloch functions

• Autores: Juan José Carmona Doménech, Julià Cufí Sobregrau, Christian Pommerenke
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 2, 1988, págs. 191-198
• Idioma: inglés
• Títulos paralelos:
  • Sobre los límites angulares de funciones de Bloch
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• Resumen

  • This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.