Correction to the paper "Distortions of a bounded domain by holomorphic mappings".
Kyong T. Hahn (1975)
Journal für die reine und angewandte Mathematik
Mihnea Coltoiu (1993)
Commentarii mathematici Helvetici
Salomon Ofman (1988)
Inventiones mathematicae
Siegmund Kosarew (1982)
Mathematische Zeitschrift
Riccardo Benedetti (1977)
Mathematische Annalen
Laurent Verdoucq (2002)
Annales Polonici Mathematici
Let Ω be a domain of finite type in ℂ² and let f be a function holomorphic in Ω and belonging to . We prove the existence of boundary values for some suitable derivatives of f of order greater than k. The gain of derivatives holds in the complex-tangential direction and it is precisely related to the geometry of ∂Ω. Then we prove a property of non-isotropic Hölder regularity for these boundary values. This generalizes some results given by J. Bruna and J. M. Ortega for the unit ball.
Ingo Lieb (1972)
Mathematische Annalen
Steve Bell (1986)
Mathematische Zeitschrift
Kyong, T. Hahn (1975)
Journal für die reine und angewandte Mathematik
Bernard Aupetit, Abdelwahab Zraĭbi (1984)
Studia Mathematica
Budzyńska, Monika (2003)
Abstract and Applied Analysis
Wiegerinck, Jan J.O.O. (1984)
Mathematische Zeitschrift
C. Denson Hill, M. Nacinovich (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Aldo Andreotti, Arnold Kas (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Włodzimierz Zwonek (1995)
Annales Polonici Mathematici
We introduce a class of generalized pseudoellipsoids and we get formulas for their complex geodesics in the convex case. Using these formulas we get a description of automorphisms of the pseudoellipsoids. We also solve the problem of biholomorphic equivalence of convex complex ellipsoids without any sophisticated machinery.
Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
We find effective formulas for the invariant functions, appearing in the theory of several complex variables, of the elementary Reinhardt domains. This gives us the first example of a large family of domains for which the functions are calculated explicitly.
M. Jarnicki, P. Pflug (1988)
Manuscripta mathematica
Siegmund Kosarew (1982)
Mathematische Annalen
Aldo Andreotti, Gregory A. Fredricks (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
V. Ancona, Vo Van Tan (1980)
Mathematische Annalen