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A local version of Wong-Rosay's theorem for proper holomorphic mappings

Author(s): Nabil Ourimi
Journal: Proc. Amer. Math. Soc. 128 (2000), 831-836.
MSC (1991): Primary 32H35
Posted: September 27, 1999
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Abstract: In the present paper, we generalize Wong-Rosay's theorem for proper holomorphic mappings with bounded multiplicity. As an application, we prove the non-existence of a proper holomorphic mapping from a bounded, homogenous domain in $\mathbb{C}^n$ onto a domain in $\mathbb{C}^n$ whose boundary contains strongly pseudoconvex points.

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Additional Information:

Nabil Ourimi
Affiliation: C.M.I., 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France
Address at time of publication: Faculte des Sciences de Monastir, Route de Kairouan, 5000 Monastir, Tunisia
Email: ourimi@gyptis.univ-mrs.fr

DOI: 10.1090/S0002-9939-99-05428-3
PII: S 0002-9939(99)05428-3
Keywords: Proper holomorphic mappings, correspondences, scaling methods
Received by editor(s): April 29, 1998
Posted: September 27, 1999
Communicated by: Steven R. Bell
Copyright of article: Copyright 1999, American Mathematical Society

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