Results 151 to 160 of about 4,865 (165)

H p -Functions on Strictly Pseudoconvex Domains

American Journal of Mathematics, 1976
Introduction. In this paper we study some questions concerning HP-functions on strictly pseudoconvex domains in CN. For the most part, the results we obtain are analogues of well known theorems in one variable. The first section is devoted to a few preliminaries about the Hardy classes on domains in CN.
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Invariant metrics on pseudoconvex domains

1984
Let Ω be a bounded domain in ℂn. Each of the metrics of Bergman, Caratheodory, and Kobayashi assigns a positive number to a given non-zero tangent vector X above a point z in Ω. This assignment is invariant in the sense that if f is a biholomorphism of Ω onto another bounded domain Ω′, then the metric applied to X equals the value of the metric on Ω ...
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Pseudoconvex Domains and Oka’s Theorem

2016
In this chapter we deal with pseudoconvex domains. In Chap. 4 we saw that the Oka–Cartan Fundamental Theorem holds on holomorphically convex domains, and in Chap. 5 that a holomorphically convex domain is equivalent to a domain of holomorphy. These domains are shown to be pseudoconvex (Cartan–Thullen). The converse (Levi’s problem) was proved by K. Oka
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q-pseudoconvex and q-complete domains

1984
Main result: If D is a domain with \(C^ 2\) boundary in a Stein manifold M and D has q-pseudoconvex boundary, then D is q-complete. The proof uses a reduction (by embedding and tubular neighbourhood) to the case \(M={\mathbb{C}}^ N\).
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On pseudoconvexity of Reinhardt domains

1996
Für Reinhardt'sche Gebiete im \(\mathbb{C}^2\) wird der Zusammenhang zwischen Pseudokonvexität und logarithmischer Konvexität diskutiert.
M. Landucci, SPIRO, Andrea
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Domains of Holomorphy and Pseudoconvexity

1986
In 1906 F. Hartogs discovered the first example exhibiting the remarkable extension properties of holomorphic functions in more than one variable. It is this phenomenon, more than anything else, which distinguishes function theory in several variables from the classical one-variable theory.
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Holomorphic Lipschitz Functions in Pseudoconvex Domains

American Journal of Mathematics, 1979
Ahern, Patrick, Schneider, Robert
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Embedding Strictly Pseudoconvex Domains in Convex Domains

American Journal of Mathematics, 1976
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Pseudoconvex Domains with Real-Analytic Boundary

The Annals of Mathematics, 1978
Diederich, Klas, Fornaess, John E.
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Pseudoconvex domains without pseudoconvex exhaustion

2007
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