A remark to a paper of Janas “Toeplitz operators related to certain domains in ”
Kôzô Yabuta (1978)
Studia Mathematica
Steve Bell, Ewa Ligocka (1980)
Inventiones mathematicae
Klas Diederich, John Erik Fornaess (1982)
Manuscripta mathematica
Dietmar Vogt, Markus Poppenberg (1995)
Mathematische Zeitschrift
Takeo Ohsawa (1982)
Inventiones mathematicae
László Lempert (1995)
Inventiones mathematicae
Henry B. Laufer (1979)
Inventiones mathematicae
N. D. Kutev, I. P. Ramadanov (1990)
Annales de l'I.H.P. Analyse non linéaire
Gregor Herbort (2007)
Annales Polonici Mathematici
Let a and m be positive integers such that 2a < m. We show that in the domain the holomorphic sectional curvature of the Bergman metric at z in direction X tends to -∞ when z tends to 0 non-tangentially, and the direction X is suitably chosen. It seems that an example with this feature has not been known so far.
Telemachos Hatziafratis (1991)
Publicacions Matemàtiques
A Bochner-Martinelli-Koppelman type integral formula on submanifolds of pseudoconvex domains in Cn is derived; the result gives, in particular, integral formulas on Stein manifolds.
Zbigniew Słodkowski (1997)
Studia Mathematica
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
C.K. Han (1983)
Inventiones mathematicae
Paul Zorn (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Isabelle Reizner (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Benoît Ben Moussa (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
C. Denson Hill, Mauro Nacinovich (1995)
Mathematische Zeitschrift
Henri Skoda (1972)
Annales scientifiques de l'École Normale Supérieure
Jean-Jacques Loeb (2006)
Publicacions Matemàtiques
We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of Cn which fixes the origin is a linear map. In our paper, pseudo-convexity plays a main role. Some precise study is done for the case of dimension two and the case where one of the domains is Cn.
R. Michael Range (1977)
Manuscripta mathematica
Anne Cumenge, Pierre Bonneau (1991)
Mathematische Zeitschrift