Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes

• Autores: Chantal Menini
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 39, Nº 1, 1995, págs. 107-159
• Idioma: francés
• Títulos paralelos:
  • Clases de Nevanlinna sobre una intersección de abiertos estrictamente pseudoconvexos
  • Nevanlinna classes on an intersection of strictly pseudoconvex domains
• Enlaces
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• Resumen

  • On a finite intersection of strictly pseudoconvex domains we define two kinds of natural Nevanlinna classes in order to take the growth of the functions near the sides or the edges into account. We give a sufficient Blaschke type condition on an analytic set for being the zero set of a function in a given Nevanlinna class. On the other hand we show that the usual Blaschke condition is not necessary here.