Q909071
type: Item
instance of: scholarly article
title: Applications holomorphes propres continues de domaines strictement pseudoconvexes de \({\mathbb{C}}^ n\) dans la boule unité de \({\mathbb{C}}^{n+1}\). (On the extension of proper holomorphic mappings from strictly pseudoconvex domains in \({\mathbb{C}}^ n\) into the unit ball of \({\mathbb{C}}^{n+1})\)
zbMATH Open document ID: 0694.32010
DOI: 10.1215/S0012-7094-90-06003-X
author: Monique Hakim
published in: Duke Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Etant donné, dans \({\mathbb{C}}^ n\), un domaine D borné strictement pseudoconvexe de bord \({\mathcal C}^{\infty}\), on construit des applications continues de \(\bar D\) dans la boule unité fermée de \({\mathbb{C}}^{n+1}\), et de la frontière de D dans celle de la boule, holomorphes sur D.
Mathematics Subject Classification ID: 32T99
Mathematics Subject Classification ID: 32H35
zbMATH DE Number: 4136335
zbMATH Keywords: strictly pseudoconvex domain
zbMATH Keywords: proper holomorphic maps
reviewed by: Rose-Marie Hervé
MaRDI profile type: Publication
cites work: Q4172303
cites work: Ensembles pics pour \(A^\infty(D)\)
cites work: A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications
cites work: A reflection principle with applications to proper holomorphic mappings
cites work: Maps from the two-ball to the three-ball
cites work: Q3029294
cites work: Embedding Strictly Pseudoconvex Domains Into Balls
cites work: Extensions and selections in subspaces of C(K)
cites work: Boundary interpolation by proper holomorphic maps
cites work: Fonctions holomorphes bornées sur la boule unite de \(C^ n\).
cites work: Interpolation submanifolds of pseudoconvex manifolds
cites work: Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls
cites work: Q3958740
cites work: Sur le plongement des domaines faiblement pseudoconvexes dans des domaines convexes
cites work: Proper holomorphic mappings from strongly pseudoconvex domains in $\mathsf{C}^2$ to the unit polydisc in $\mathsf{C}^2$.
cites work: On mapping an n-ball into an (n+1)-ball in complex space
full work available at URL: s0012-7094-90-06003-x
OpenAlex ID: W1528845078
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label: Applications holomorphes propres continues de domaines strictement pseudoconvexes de \({\mathbb{C}}^ n\) dans la boule unité de \({\mathbb{C}}^{n+1}\). (On the extension of proper holomorphic mappings from strictly pseudoconvex domains in \({\mathbb{C}}^ n\) into the unit ball of \({\mathbb{C}}^{n+1})\)
description: scientific article; zbMATH DE number 4136335