Nevanlinna classes on an intersection of strictly pseudoconvex domains.

Chantal Menini

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 1, page 107-159
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Menini, Chantal. "Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.." Publicacions Matemàtiques 39.1 (1995): 107-159. <http://eudml.org/doc/41216>.

@article{Menini1995,
author = {Menini, Chantal},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de variable compleja; Dominios pseudoconvexos; Sistemas abiertos; Intersección; Finitud; Nevanlinna classes; Blaschke condition; currents; plurisubharmonic functions; strictly pseudoconvex domains},
language = {fre},
number = {1},
pages = {107-159},
title = {Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.},
url = {http://eudml.org/doc/41216},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Menini, Chantal
TI - Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 1
SP - 107
EP - 159
LA - fre
KW - Funciones de variable compleja; Dominios pseudoconvexos; Sistemas abiertos; Intersección; Finitud; Nevanlinna classes; Blaschke condition; currents; plurisubharmonic functions; strictly pseudoconvex domains
UR - http://eudml.org/doc/41216
ER -

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