Results 11 to 20 of about 217,307 (157)
A Gehring-Hayman inequality for strongly pseudoconvex domains [PDF]
International Mathematics Research Notices, 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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Precise estimates of invariant distances on strongly pseudoconvex domains [PDF]
Advances in Mathematics, 2023 Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carath\'eodory distance on $\mathcal{C}^{2,\alpha}$-smooth strongly pseudoconvex domains.
Lukasz Kosi'nski +2 more
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EMBEDDING BORDERED RIEMANN SURFACES IN STRONGLY PSEUDOCONVEX DOMAINS [PDF]
Revue Roumaine Mathematiques Pures Appliquees, 2022 We show that every bordered Riemann surface, M, with smooth boundary bM admits a proper holomorphic map M → Ω into any bounded strongly pseudoconvex domain Ω in Cn, n > 1, extending to a smooth map f : M → Ω which can be chosen an immersion if n ≥ 3 and ...
F. Forstnerič
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The pluricomplex Poisson kernel for strongly pseudoconvex domains [PDF]
Advances in Mathematics, 2020 In this paper we introduce, via a Phragmen-Lindelof type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricomplex Poisson kernel} because it shares many properties with the classical ...
Filippo Bracci, A. Saracco, S. Trapani
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Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains [PDF]
Journal of Mathematical Analysis and Applications, 2021 The Ricci curvature of the Bergman metric on a bounded domain D ⊂ C is strictly bounded above by n + 1 and consequently log(K D gB,D), where KD is the Bergman kernel for D on the diagonal and gB,D is the Riemannian volume element of the Bergman metric on
Diganta Borah, Debaprasanna Kar
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Comparison of invariant functions on strongly pseudoconvex domains [PDF]
Journal of Mathematical Analysis and Applications, 2015 It is shown that the Carathéodory distance and the Lempert function are almost the same on any strongly pseudoconvex domain in $\C^n;$ in addition, if the boundary is $C^{2+\eps}$-smooth, then $\sqrt{n+1}$ times one of them almost coincides with the Bergman distance.
Nikolai Nikolov
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Equidistribution theorems on strongly pseudoconvex domains [PDF]
Transactions of the American Mathematical Society, 2017 This work consists of two parts. In the first part, we consider a compact connected strongly pseudoconvex CR manifold $X$ with a transversal CR $S^{1}$ action. We establish an equidistribution theorem on zeros of CR functions. The main techniques involve
Chin-Yu Hsiao, Guokuan Shao
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Holomorphic Families of Strongly Pseudoconvex Domains in a Kähler Manifold [PDF]
Journal of Geometric Analysis, 2020 Let $p:X\rightarrow Y$ be a surjective holomorphic mapping between Kähler manifolds. Let $D$ be a bounded smooth domain in $X$ such that every generic fiber $D_y:=D\cap p^{-1}(y)$ for $y\in Y$ is a strongly pseudoconvex domain in $X_y:=p^{-1}(y)$, which admits the complete Kähler-Einstein metric. This family of Kähler-Einstein metrics induces a smooth $
Choi Young-Jun
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On Bergman type projections in bounded strongly pseudoconvex domains
ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL, 2023 In our note we prove the boundedness of Bergman type projections in two different spaces of analytic functions with mixed norm in general bounded strongly pseudoconvex domains with smooth boundary.The first class of analytic functions was studied ...
R. Shamoyan, E. B. Tomashevskaya
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Toeplitz operators and Carleson measures in strongly pseudoconvex domains [PDF]
Journal of Functional Analysis, 2012 36 ...
Marco Abate +2 more
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