Results 131 to 140 of about 897 (167)

On hyperbolicity of pseudoconvex Reinhardt domains

Archiv Der Mathematik, 1999
A Reinhardt domain is a subset \(D\) of \(n-\)dimensional complex space \(C^n\) such that for all \(z=(z_1,\dots,z_n)\in D\) and \(|\lambda_1|=\dots=|\lambda_n|=1\), we have \((|\lambda_1|z_1, \dots,|\lambda_n|z_n)\in D\). The author gives a characterization of Kobayashi hyperbolicity for pseudo-convex Reinhardt domains. He proves that such a domain is
Włodzimierz Zwonek
exaly   +3 more sources

Boundary jets of holomorphic maps between strongly pseudoconvex domains

Journal of Functional Analysis, 2008
In this paper we consider jets taken at a fixed boundary point of germs of holomorphic diffeomorphisms which send one strongly pseudoconvex domain into another.
Filippo Bracci, Dmitri Zaitsev
exaly   +2 more sources

Boundary Invariants of Pseudoconvex Domains

The Annals of Mathematics, 1984
Let \(\Omega \subseteq {\mathbb{C}}^ n\) be a smoothly bounded pseudoconvex domain. A notion of multitype of a point \(P\in \partial \Omega\) is introduced. This term is defined in terms of directional derivatives of a defining function for \(\partial \Omega\).
openaire   +1 more source

An Estimate for the Bergman Distance on Pseudoconvex Domains

The Annals of Mathematics, 1995
Let \(D\) be a bounded pseudoconvex domain in \(\mathbb{C}^n\). Let \(\delta_D (z)\) denote the euclidean distance from \(z\) to the boundary of \(D\), and let \(\text{dist}_D (z,w)\) denote the Bergman distance between \(z\) and \(w\) with respect to \(D\).
Diederich, Klas, Ohsawa, Takeo
openaire   +1 more source

Approximation on Pseudoconvex Domains

1980
Here we discuss some problems in approximation which are related to the problem of finding pseudoconvex neighborhoods. Since we omit various topics, we refer the reader to the articles of Birtel [4], Henkin and Chirka [16], and Wells [28].
Eric Bedford, John Erik Fornaess
openaire   +1 more source

On the projection of pseudoconvex domains

Mathematische Zeitschrift, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Volume Approximations of Strongly Pseudoconvex Domains

The Journal of Geometric Analysis, 2016
In affine convex geometry, the volume approximation of a \(C^2\)-smooth convex body by polyhedra with at most \(n\) facets can be asymptotically estimated by \(n^{-2/(d-1)}\) times \((d+1)/(d-1)\)-th power of the integral of the Blaschke surface area measure on the boundary of the convex body. In this article, the author studies the complex analogue of
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +2 more sources

Oka's principle in pseudoconvex domains

Complex Variables, Theory and Application: An International Journal, 2001
Let x be a Banach space with a Schauder basis, for which the hypothesis (X) in the sense of Lempert is satisfied, and Ω be a pseudoconvex domain in x. Let L be an Abelian complex Lie group. A L or eL be, respectively, the sheaves over Ω of germs of holomorphic or continuous mappings into L and be the canonical inclusion. Then the mapping induced by the
openaire   +1 more source