Proper holomorphic mappings between bounded complete Reinhardt domains in C2.
F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
Similarity:
F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
Similarity:
Yifei Pan (1991)
Mathematische Zeitschrift
Similarity:
Peichu Hu (1993)
Mathematische Zeitschrift
Similarity:
Peichu Hu (1994)
Mathematische Zeitschrift
Similarity:
Robert Molzon (1983)
Mathematische Zeitschrift
Similarity:
Klas Diederich, John E. Fornaess (1982)
Inventiones mathematicae
Similarity:
Eric Bedford, Steve Bell (1985)
Manuscripta mathematica
Similarity:
Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)
Annales Polonici Mathematici
Similarity:
Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
J.A. Cima, S.G. Krantz, T. Suffridge (1984)
Mathematische Zeitschrift
Similarity:
Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
Similarity:
We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
Piotr Liczberski, Jerzy Połubiński (2002)
Annales Polonici Mathematici
Similarity:
We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.
S. Bell, E. Bedford (1985)
Mathematische Annalen
Similarity:
Łukasz Kosiński (2009)
Annales Polonici Mathematici
Similarity:
Armen Edigarian (2004)
Annales Polonici Mathematici
Similarity:
We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
Maciej P. Denkowski (2005)
Annales Polonici Mathematici
Similarity:
The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
Viêt-Anh Nguyên (2009)
Colloquium Mathematicae
Similarity:
We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.