Results 11 to 20 of about 2,775,649 (193)
On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains
Journal of Function Spaces, 2015 New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains ...
Romi F. Shamoyan, Olivera R. Mihić
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Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
Abstract and Applied Analysis, 2018 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)
Sanghyun Cho
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Pseudoconvex domains in the Hopf surface
Journal of the Mathematical Society of Japan, 2012 With the aid of the technique of variation of domains developed in Memoirs of Amer. Math. Soc., Vol. 209, No. 984, 2011, we characterize the pseudoconvex domains with smooth boundary in Hopf surfaces which are not Stein.
Norman Levenberg, Hiroshi Yamaguchi
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On Sharp Hölder Estimates of the Cauchy-Riemann Equation on Pseudoconvex Domains in Cn with One Degenerate Eigenvalue [PDF]
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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The Intrinsic Geometry on Bounded Pseudoconvex Domains [PDF]
The Journal of Geometric Analysis, 2016 We study bounded pseudoconvex domains in 2-dimensional complex Euclidean spaces. We are interested in developing sufficient and necessary conditions for the Diederich–Fornæss index to be 1.
Bingyuan Liu
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A representation theorem in strictly pseudoconvex domains [PDF]
Illinois Journal of Mathematics, 1982 Steven R. Bell
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Comparison and localization of invariant functions on strongly pseudoconvex domains [PDF]
Bulletin of the London Mathematical Society, 2022 Comparison and localization results for the Lempert function, the Carathéodory distance, and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.
N. Nikolov
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A Gehring-Hayman inequality for strongly pseudoconvex domains [PDF]
, 2023 We prove that in a strongly pseudoconvex domain with 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.
Lukasz Kosi'nski, N. Nikolov, P. Thomas
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WHAT IS...a Pseudoconvex Domain?
Notices of the American Mathematical Society, 2012 R. Michael Range
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Discs in pseudoconvex domains [PDF]
Commentarii Mathematici Helvetici, 1992 Folgendes Problem wird diskutiert: gibt es zu jedem Punkt \(z^ 0\) eines Gebietes \(G\Subset\mathbb{C}^ N\) \((N\geq 2)\) und zu jeder Richtung \(X\in\mathbb{C}^ N\), \(X\neq 0\), eine eigentliche holomorphe Abbildung \(F:\Delta\to G\) mit: \(F(0)=z^ 0\) und \(F'(0)=\lambda X\), \(\lambda>0\); \(\Delta\) bezeichne hier den offenen Einheitskreis der ...
Forstneric, Franc, Globevnik, Josip
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