Results 21 to 30 of about 91 (89)
Smoothness to the Boundary of Biholomorphic Mappings
International Journal of Analysis and Applications, 2015 Under a plausible geometric hypothesis, we show that a biholomorphic mappingof smoothly bounded, pseudoconvex domains extends to a diffeomorphism of the closures.
Steven G. Krantz
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Spectra of subnormal pairs [PDF]
Opuscula Mathematica, 2007 In this short note we present an example related to joint spectra of subnormal pairs of bounded operators. A counterexample to the equality between Taylor's spectrum and the closure of the defect spectrum is given. This example is related to the author's
Krzysztof Rudol
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Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3
Abstract and Applied Analysis, 2014 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that z0∈bΩ is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve Γ⊂Ω∪{z0}, connecting points q0∈Ω and z0∈bΩ, and a quantity M(z,X), along z∈Γ, which ...
Sanghyun Cho, Young Hwan You
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2012 v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
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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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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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ON TRACES OF ANALYTIC HERZ AND BLOCH TYPE SPACES IN BOUNDED STRONGLY PSEUDOCONVEX DOMAINS IN C^N
Проблемы анализа, 2014 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^n, to the case of the bounded strongly pseudoconvex domains with a smooth boundary.
R. F. Shamoyan, S. M. Kurilenko
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ENSEMBLES TOTALEMENT RÉELS ET DOMAINES PSEUDOCONVEXES
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1985 Main theorem: Let \(L\) be a connected Lie group, \(L'\subset L\) a closed subgroup, \(X\) a complex manifold, \(p: F\to X\) an analytic fiber space with fiber \(L/L'\); let \(D\) be a locally pseudoconvex domain in \(F\) such that there is an open \(G\subset X\) and a totally real submanifold \(M\) of \(G\), \(\dim_{\mathbb R} M =\dim_{\mathbb C} X\),
Hamada, Hidetaka, Kajiwara, Joji
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Peak Points for Pseudoconvex Domains: A Survey [PDF]
Journal of Geometric Analysis, 2008 This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.
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Compactness of commutators of Toeplitz operators on q-pseudoconvex domains
Electronic Journal of Differential Equations, 2018 Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
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