Boundary behavior of meromorphic maps
type: Item
instance of: scholarly article
title: Boundary behavior of meromorphic maps
zbMATH Open document ID: 0532.32002
DOI: 10.1007/BF01456414
author: Giorgio Patrizio
published in: Mathematische Annalen
publication date: 1982-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/182869
review text: This paper generalizes results of E. Stein and L. Lempert concerning the boundary values of a meromorphic mapping \(F:G\to {\mathbb{P}}(V)\), where G is a smoothly bounded domain in a complex manifold. It is shown that if F is a linearly nondegenerate mapping with bounded characteristic, the F has admissible boundary limits at almost every point of \(\partial G\).
Mathematics Subject Classification ID: 32A40
Mathematics Subject Classification ID: 32H99
Mathematics Subject Classification ID: 32H30
Mathematics Subject Classification ID: 32A20
zbMATH DE Number: 3844116
zbMATH Keywords: boundary values of a meromorphic mapping
zbMATH Keywords: bounded characteristic
zbMATH Keywords: admissible boundary limits
MaRDI profile type: Publication
cites work: Analytic and algebraic dependence of meromorphic functions
cites work: A Remark on Linear Elliptic Differential Equations of Second Order
cites work: Harmonic Functions on Hermitian Hyperbolic Space
cites work: Boundary behaviour of meromorphic functions of several variables
cites work: Q5596448
cites work: Q5818666
cites work: Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
cites work: Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlicher. I. II
cites work: Value distribution on parabolic spaces
cites work: Q3967782
OpenAlex ID: W2073162511
description: scientific article; zbMATH DE number 3844116