Some aspects of the Kobayashi and Caratheodory metrics on pseudoconvex domains
The purpose of this article is to consider two themes, both of which emanate from and involve the Kobayashi and the Caratheodory metric. First, we study the biholomorphic invariant introduced by B.
Mahajan, Prachi, Verma, Kaushal
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Narasimhan--Simha type metrics on strongly pseudoconvex domains in $\mathbb{C}^n$ [PDF]
Diganta Borah, Kaushal Verma
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Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces [PDF]
We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close to the identity map outside any ...
Deng, Fusheng +5 more
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Some Characterizations of Bloch Functions on Strongly Pseudoconvex Domains
This paper contains 3 characterisations of Bloch functions on smoothly bounded, strongly pseudoconvex domains in terms of invariant geometry, Bergman-Carleson measures and certain invariant random processes, respectively. This involves extending and modifying earlier work by \textit{J. Choa}, \textit{H. Kim} and \textit{Y. Park} [Bull. Korean Math. Soc.
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Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains [PDF]
Xiaoshu Ge, Chunping Zhong
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Geometry on strongly pseudoconvex domains and CR manifolds in Cn. [PDF]
Chao, Khek Lun Harold.On t.p. "n" is superscript.Thesis (M.Phil.)--Chinese University of Hong Kong, 2007.Includes bibliographical references (leaves 67-68).Abstracts in English and Chinese.Chapter 1 --- Overview --- p.6Chapter 1.1 --- Introduction ...
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Worm Domains are not Gromov Hyperbolic. [PDF]
Arosio L, Dall'Ara GM, Fiacchi M.
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Some characterizations of Bloch functions on strongly pseudoconvex domains [PDF]
The main result of the paper is the following theorem. Let \(D\) be a strongly pseudoconvex domain in \(\mathbb{C}^ n\) with defining function \(\rho\). Let \(F_ K^ D\), \(d_ K\) denote the Kobayashi-Royden metric and the Kobayashi distance for \(D\), respectively. Put \(B_ K(q,r):=\{z\in D\): \(d_ K(q,z)
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Holzegel G, Shao A.
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On traces of analytic Herz and Bloch type spaces in bounded strongly pseudoconvex domains in c^n
In our paper we provide some direct extentions of our recent sharp results on traces in the analytic function spaces, which we proved earlier in case of the unit ball in C, to the case of the bounded strongly pseudoconvex domains with a smooth boundary ...
R. Shamoyan, S. Kurilenko
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