Regularity of the Bergman Projection in Weakly Pseudoconvex Domains.
Steven R. Bell, Harold P. Boas (1981)
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Steven R. Bell, Harold P. Boas (1981)
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N. Watts Gebelt (1995)
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Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
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J.E. Fornaess, A. Nagel (1977)
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Sanghyun Cho (1996)
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Ewa Ligocka (1981)
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So-Chin Chen, E.J. Straube, H. Boas (1988)
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Włodzimierz Zwonek (1999)
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Włodzimierz Zwonek
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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...
Klas Diederich, John Erik Fornaess (1982)
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Mechthild Behrens (1985)
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Gregor Herbort (2013)
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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...
Friedrich Haslinger (1998)
Annales Polonici Mathematici
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We compute the Bergman kernel functions of the unbounded domains , where . It is also shown that these kernel functions have no zeros in . We use a method from harmonic analysis to reduce the computation of the 2-dimensional case to the problem of finding the kernel function of a weighted space of entire functions in one complex variable.
Joe Kamimoto (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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