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Pseudoconvex domains over Grassmann manifolds
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∂-Problems on Strongly Pseudoconvex Domains
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Characterizations of certain weakly pseudoconvex domains E(k,x) in $\mathbb{C}^n$
秋雄 児玉
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Boundary Invariants of Pseudoconvex Domains
The Annals of Mathematics, 1984Let \(\Omega \subseteq {\mathbb{C}}^ n\) 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
1980Here 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, 2016In 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 AnalysiszbMATH 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, 2001Let 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
1994In 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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