Results 31 to 40 of about 1,775 (74)
The Automorphism Group of a Domain with an Exponentially Flat Boundary Point [PDF]
, 2010 We study the automorphisms group action on a bounded domain in $\CC^n$ having a boundary point that is exponentially flat. Such a domain typically has a compact automorphism group.
Krantz, Steven G.
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Boundary Schwarz Lemma for Holomorphic Self-mappings of Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2016 In this paper, we generalize a recent work of Liu et al. from the open unit ball $\mathbb B^n$ to more general bounded strongly pseudoconvex domains with $C^2$ boundary. It turns out that part of the main result in this paper is in some certain sense just a part of results in a work of Bracci and Zaitsev. However, the proofs are significantly different:
Wang, Xieping, Ren, Guangbin
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Manifolds of holomorphic mappings from strongly pseudoconvex domains [PDF]
Asian Journal of Mathematics, 2007 Let D be a bounded strongly pseudoconvex domain in a Stein manifold S and let Y be a complex manifold. We prove that the graph of any continuous map from the closure of D to Y which is holomorphic in D admits a basis of open Stein neighborhoods in S x Y.
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Boundary behavior of the Kobayashi metric near a point of infinite type [PDF]
, 2013 Under a potential-theoretical hypothesis named $f$-Property with $f$ satisfying $\displaystyle\int_t^\infty \dfrac{da}{a f(a)}
Khanh, Tran Vu
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Admissible limits of bloch functions on bounded strongly pseudoconvex domains [PDF]
Bulletin of the Australian Mathematical Society, 1996 Let be a bounded strongly pseudoconvex domain with C2 boundary . In this paper we prove that for a Bloch function in the existance of radial limits at almost all implies the existence of admissible limits almost everywhere on .
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Some Characterizations of Bloch Functions on Strongly Pseudoconvex Domains
Tokyo Journal of Mathematics, 1994 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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Toeplitz operators and Carleson measures in strongly pseudoconvex domains
Journal of Functional Analysis, 2012 36 ...
ABATE, MARCO, Raissy J, Saracco A.
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The Wong-Rosay type theorem for K\"ahler manifolds
, 2014 The Wong-Rosay theorem characterizes the strongly pseudoconvex domains of $\mathbb{C}^n$ by their automorphism groups. It has a lot of generalizations to other kinds of domains (for example, the weakly pseudoconvex domains). However, most of them are for
Liu, Bingyuan
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Fredholm operators associated with strongly pseudoconvex domains in Cn
Journal of Functional Analysis, 1972 This paper generalizes the index theorem of Gohberg and Krien on Weiner-Hopf operators on the unit circle. Let Ω be a strongly pseudoconvex domain in Cn and suppose L2N(Ω) is the space of square integrable functions ƒ: Ω → CN. Let H2N(Ω) be the subspace of all ƒ ϵ L2N(Ω) which are holomorphic in Ω and let P: L2N(Ω) → H2N(Ω) be the orthogonal projection.
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Comparison of invariant functions on strongly pseudoconvex domains
Journal of Mathematical Analysis and Applications, 2015 It is shown that the Carath odory 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.
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