Results 141 to 150 of about 4,865 (165)

∂-Problems on Strongly Pseudoconvex Domains

open access: yesBulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1973
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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 \(\partial \Omega\).
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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
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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
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Carleson Measures on Weakly Pseudoconvex Domains

The Journal of Geometric Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Pseudoconvex domains of semiregular type

1994
In this article we develop the geometric tools needed for obtaining more precise analytic information than known so-far on a relatively large class of bounded pseudoconvex domains Ω ⊂ ℂ n with C ∞-smooth boundary of finite type.
Klas Diederich, Gregor Herbort
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