Domains with Pseudoconvex Neighborhood Systems.
John Erik Fornaess, Eric Bedford (1978)
Inventiones mathematicae
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John Erik Fornaess, Eric Bedford (1978)
Inventiones mathematicae
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Joachim Michel (1993)
Mathematische Zeitschrift
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Mechthild Behrens (1985)
Mathematische Annalen
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Andrei Iordan (1984/85)
Mathematische Zeitschrift
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J.E. Fornaess, A. Nagel (1977)
Manuscripta mathematica
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Akira Sakai (1982)
Mathematische Annalen
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Adib A. Fadlalla (1994)
Mathematische Annalen
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William S. Cohn (1993)
Mathematica Scandinavica
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Vo Van Tan (1990)
Manuscripta mathematica
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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...
Samir, Lahrech, Abdessamad, Jaddar, Abdelmalek, Ouahab, Abderrahim, Mbarki (2006)
Lobachevskii Journal of Mathematics
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Ivanov, Vsevolod (2001)
Serdica Mathematical Journal
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First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.
Erik Low (1984)
Mathematische Zeitschrift
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