Results 11 to 20 of about 579 (168)
Model Pseudoconvex Domains and Bumping [PDF]
International Mathematics Research Notices, 2011 28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
Bharali, Gautam
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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
Alan V. Noell
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2012 v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
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A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains
International Mathematics Research Notices, 2023 Abstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-smooth boundary, then the length of a geodesic for the Kobayashi–Royden infinitesimal metric between two points is bounded by a constant multiple of the Euclidean distance between the points.
Kosiński, Łukasz +2 more
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Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
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On Hardy spaces on worm domains
Concrete Operators, 2016 In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
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Deformations of strongly pseudoconvex domains [PDF]
Manuscripta Mathematica, 2012 We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
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Abstract and Applied Analysis, 2015 Let Ω be a smoothly bounded pseudoconvex domain in Cn with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with bΩ at z0∈bΩ is larger than or equal to η.
Sanghyun Cho, Young Hwan You
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Pseudoconvex domains: An example with nontrivial nebenh�lle
Mathematische Annalen, 1977 Klas Diederich +2 more
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On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
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