Proper maps which are Lipschitz \(\alpha\) up to the boundary

DOI10.1007/BF02921604zbMath0913.32006OpenAlexW1996461411MaRDI QIDQ1387678

Berit Stensones Henriksen

Publication date: 8 June 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921604

zbMATH Keywords

proper holomorphic mapsstrictly pseudoconvex domainboundary regularity

Mathematics Subject Classification ID

Proper holomorphic mappings, finiteness theorems (32H35) Boundary regularity of mappings in several complex variables (32H40) Pseudoconvex domains (32T99)

Related Items (8)

On the \(\mathcal{C}^\infty\) regularity of CR mappings of positive codimension ⋮ Regularity of mappings into classical domains ⋮ On the third gap for proper holomorphic maps between balls ⋮ Local embeddability of pseudo-Hermitian manifolds into spheres ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ Local Cauchy-Riemann embeddability of real hyperboloids into spheres ⋮ Rigidity of mappings between degenerate and indefinite hyperbolic spaces ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

Cites Work

• 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 \({\mathbb{C}}^{n+1})\)
• Boundary behavior of rational proper maps
• Interpolation by Lipschitz holomorphic functions
• Extending proper holomorphic mappings of positive codimension

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