On Bergman completeness of pseudoconvex Reinhardt domains
Włodzimierz Zwonek (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Włodzimierz Zwonek (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Ewa Ligocka (1981)
Annales Polonici Mathematici
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Gregor Herbort (2013)
Annales Polonici Mathematici
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We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite...
Andrei Iordan (1984/85)
Mathematische Zeitschrift
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Kolář, Martin
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Maciej Skwarczyński
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CONTENTSPRELIMINARY REMARKS........................................................................................ 5 Introduction..................................................................................................... 5 Basic definitions, examples and facts............................................................... 8I. LU QI-KENQ DOMAINS........................................................................................... 13 Some properties of Lu Qi-keng domains.....................................................
Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
Mathematische Annalen
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Włodzimierz Zwonek (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We give a description of bounded pseudoconvex Reinhardt domains, which are complete for the Carathéodory inner distance.