×

Le problème du complémentaire d’une hypersurface holomorphe en analyse hyperbolique. (French) Zbl 0577.32023

Summary: ”We give conditions on a holomorphic mapping f defined on a complete hyperbolic manifold M to assure that the complement \(M\setminus \{f=0\}\) is complete hyperbolic. For this purpose we define the following classes of mappings: the Hardy Lumer class, the Lumer Nevanlinna class and the Burkholder \(M^{\Phi}\) classes.
This problem has some ramifications in value distribution theory.”
Reviewer: Z.Olszak

MSC:

32Q45 Hyperbolic and Kobayashi hyperbolic manifolds
32H30 Value distribution theory in higher dimensions
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] KOBAYASHI, S.:Hyperbolic manifolds and holomorphic mappings. Marcel Dekker Editor (1970) · Zbl 0207.37902
[2] BURKHOLDER, D.L.: Boundary value estimation of the range of an analytic funtion. Michigan Math. Journal25,2, 197-211 (1978) · Zbl 0372.30026
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.