Results 21 to 30 of about 582 (171)
Uniformization of strictly pseudoconvex domains. II [PDF]
Izvestiya: Mathematics, 2005 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.
Nemirovski, Stefan, Shafikov, Rasul
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, an optimal control neural network algorithm is used to conduct an in‐depth study and analysis of the evaluation of elementary school urban‐rural exchange teachers, and an optimal control neural network evaluation model is designed and applied to the actual elementary school urban‐rural exchange process.
Ke Chen, Gengxin Sun
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On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
Shamoyan, R.F., Tomashevskaya, E.B.
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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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Commentarii Mathematici Helvetici, 1992 Folgendes Problem wird diskutiert: gibt es zu jedem Punkt \(z^ 0\) eines Gebietes \(G\Subset\mathbb{C}^ N\) \((N\geq 2)\) und zu jeder Richtung \(X\in\mathbb{C}^ N\), \(X\neq 0\), eine eigentliche holomorphe Abbildung \(F:\Delta\to G\) mit: \(F(0)=z^ 0\) und \(F'(0)=\lambda X\), \(\lambda>0\); \(\Delta\) bezeichne hier den offenen Einheitskreis der ...
Forstneric, Franc, Globevnik, Josip
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Subellipticity of the ∂ ̄-Neumann problem on a weakly q-pseudoconvex/concave domain [PDF]
, 2011 For a domain D of Cn which is weakly q-pseudoconvex or q-pseudoconcave, we give a sufficient condition for subelliptic estimates for the View the MathML source-Neumann problem.
Giuseppe Zampieri +4 more
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Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
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On the Silov boundary of a pseudoconvex domain in Cn with C2 + α boundary [PDF]
, 1991 Let D be a bounded pseudoconvex domain in Cn and ∂spcD be the totality of strictly pseudoconvex boundary points. When D has a C2 + α plurisubharmonic defining function, a holomorphic diffusion process which never approaches ∂D∂spc is constructed.
Taniguchi, Setsuo, Setsuo Taniguchi
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Remarks on weakly pseudoconvex boundaries [PDF]
, 2003 In this paper, we consider the boundary M of a weakly pseudoconvex domain in a Stein manifold. We point out a striking difference between the local cohomology and the global cohomology of M, and illustrate this with an example.
Hill, CD +6 more
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On Hardy spaces on worm domains
Concrete Operators, 2016 In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
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