Results 1 to 10 of about 2,775,649 (193)
Families of Strictly Pseudoconvex Domains and Peak Functions. [PDF]
J Geom Anal, 2018 We prove that given a family $(G_t)$ of strictly pseudoconvex domains varying in $\mathcal{C}^2$ topology on domains, there exists a continuously varying family of peak functions $h_{t,\zeta}$ for all $G_t$ at every $\zeta\in\partial G_t.
Lewandowski A.
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2011 We prove that an open set $D$ in $\C^n$ is pseudoconvex if and only if for any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.Comment:
J. Thomas, Nikolai Nikolov, Pascal
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On Bergman completeness of pseudoconvex Reinhardt domains [PDF]
Annales de la faculté des sciences de Toulouse Mathématiques, 1999 We give a precise description of Bergman complete bounded pseudoconvex Reinhardt domains.Comment: 13 ...
Zwonek, Wlodzimierz
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Corona theorem for strictly pseudoconvex domains [PDF]
Opuscula Mathematica, 2021 Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using
Sebastian Gwizdek
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Model pseudoconvex domains and bumping [PDF]
International Mathematics Research Notices, 2011 The Levi geometry at weakly pseudoconvex boundary points of domains in C^n, n \geq 3, is sufficiently complicated that there are no universal model domains with which to compare a general domain.
Bharali, Gautam
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Uniformization of strictly pseudoconvex domains [PDF]
Izvestiya: Mathematics, 2004 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent.
Nemirovski, Stefan, Shafikov, Rasul
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Visibility domains that are not pseudoconvex
Bulletin des Sciences Mathématiques, 2023 The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility ...
Annapurna Banik
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Analyticity in the boundary of a pseudoconvex domain [PDF]
Proceedings of the American Mathematical Society, 1985 Let D D be a bounded pseudoconvex domain with C ∞ {C^\infty } boundary in C n , A ∞ ( D )
Alan Noell
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Construction of labyrinths in pseudoconvex domains [PDF]
Mathematische Zeitschrift, 2019 We build in a given pseudoconvex (Runge) domain D of CN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
S. Charpentier, Łukasz Kosiński
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On Pseudoconvex Domains in $\mathbf{P}^n$ [PDF]
Tokyo Journal of Mathematics, 1998 Let \(\Omega\) be a domain in \(\mathbb{C}\mathbb{P}^n\) and let \(K_\Omega\) be its Bergman kernel with respect to the Fubiny-Study metric. The authors prove first a localization principle for \(K_\Omega\). This can be stated as follows: assume that \(\Omega\) is pseudoconvex and that its complement has non-void interior. Then, given a point \(x\) in \
Klas Diederich, Takeo Ohsawa
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