Results 21 to 30 of about 2,775,649 (193)
ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
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Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains [PDF]
Documenta Mathematica, 2020 Let $\pi:\mathbb{C}^n\times\mathbb{C}\rightarrow\mathbb{C}$ be the projection map onto the second factor and let $D$ be a domain in $\mathbb{C}^{n+1}$ such that for $y\in\pi(D)$, every fiber $D_y:=D\cap\pi^{-1}(y)$ is a smoothly bounded strongly ...
Youngook Choi, Sungmin Yoo
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On a local characterization of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2009 Pseudoconvexity of a domain in $\Bbb C^n$ is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounded at the point.
Nikolov, Nikolai +3 more
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On subvarieties of singular quotients of bounded domains
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022 Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel +2 more
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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 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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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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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
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A smooth pseudoconvex domain without pseudoconvex exhaustion
Manuscripta Mathematica, 1982 A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
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Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2 [PDF]
, 1996 In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the singularity of the Bergman kernel at weakly pseudoconvex points is essentially
Kamimoto, Joe
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