Results 11 to 20 of about 1,826 (101)
Strongly pseudoconvex handlebodies
Journal of the Korean Mathematical Society, 2003 We give an explicit construction of special strongly pseudoconvex domains in C^n of handlebody type, i.e., domains which are small tubes surrounding the union of a quadratic strongly pseudoconvex domain with an attached totally real handle.
Forstneric, Franc, Kozak, Jernej
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The automorphism groups of strongly pseudoconvex domains
Mathematische Annalen, 1982 Let \(D_ 0\) be a \(C^{\infty}\) strongly pseudoconvex bounded domain in \({\mathbb{C}}^ n\) (or in a Stein manifold). The authors study the holomorphic automorphism groups Aut(D) of like domains that are \(C^{\infty}\) close to \(D_ 0\). Their main results are as follows: If D is sufficiently \(C^{\infty}\) close to \(D_ 0\), then Aut(D) is isomorphic
Krantz, Steven G., Greene, Robert E.
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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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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.
Nikolai Nikolov
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Boundary jets of holomorphic maps between strongly pseudoconvex domains
Journal of Functional Analysis, 2008 We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to a given boundary point. We completely characterize the (non-tangential) 1-jets.
Bracci, Filippo, Zaitsev, Dmitri
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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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On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
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Discrete sequences in unbounded domains [PDF]
, 2016 Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$. Thus the speed of escape at the boundary of
Saracco, Alberto
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Toeplitz Algebras on Strongly Pseudoconvex Domains [PDF]
Nagoya Mathematical Journal, 2007 AbstractIn the present paper, it is proved that theK0-group of a Toeplitz algebra on any strongly pseudoconvex domain is always isomorphic to theK0-group of the relative continuous function algebra, and is thus isomorphic to the topologicalK0-group of the boundary of the relative domain.
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Subsolution theorem for the complex Hessian equation [PDF]
, 2012 We prove the subsolution theorem for the complex Hessian equations in a smoothly bounded strongly $m$-pseudoconvex domain, $1 < m < n$, in $\bC^n$.Comment: 18 pages. Corrected typos.
Nguyen, Ngoc Cuong
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