Extension of correspondences between rigid polynomial domains
Nabil Ourimi (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Nabil Ourimi (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Bernard Coupet, Nabil Ourimi (2001)
Publicacions Matemàtiques
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We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in C. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.
Le Mau Hai, Nguyen Quang Dieu, Nguyen Huu Tuyen (2003)
Annales Polonici Mathematici
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We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk into D can be extended holomorphically to a map from Δ into D.
Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Gilberto Dini, Angela Selvaggi Primicerio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Klas Diederich, Emmanuel Mazzilli (1997)
Annales de l'institut Fourier
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Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds of pseudoconvex domains to all of even in quite simple situations; The spaces are, in general, not at all preserved. Also the image of the Hilbert space under the restriction to can have a very strange structure.
John Erik Fornæss, Claudio Rea (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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