Propriétés d'extension et applications séparément holomorphes dans les espaces faiblement hyperboliques

Omar Alehyane; Hichame Amal

Annales Polonici Mathematici (2003)

  • Volume: 81, Issue: 3, page 201-215
  • ISSN: 0066-2216

Abstract

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The goal of this paper is to study the relationship between the hyperbolicity of complex spaces, extension of holomorphic mappings and the Hartogs theorem for separately holomorphic mappings. We prove that a complex space with a weak hyperbolicity which has the 𝔻*-extension property has the Hartogs extension property. As a consequence we give a generalization of the big Picard theorem. Finally we generalize Terada's theorem for separately holomorphic mappings.

How to cite

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Omar Alehyane, and Hichame Amal. "Propriétés d'extension et applications séparément holomorphes dans les espaces faiblement hyperboliques." Annales Polonici Mathematici 81.3 (2003): 201-215. <http://eudml.org/doc/280616>.

@article{OmarAlehyane2003,
author = {Omar Alehyane, Hichame Amal},
journal = {Annales Polonici Mathematici},
language = {fre},
number = {3},
pages = {201-215},
title = {Propriétés d'extension et applications séparément holomorphes dans les espaces faiblement hyperboliques},
url = {http://eudml.org/doc/280616},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Omar Alehyane
AU - Hichame Amal
TI - Propriétés d'extension et applications séparément holomorphes dans les espaces faiblement hyperboliques
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 3
SP - 201
EP - 215
LA - fre
UR - http://eudml.org/doc/280616
ER -

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