Results 11 to 20 of about 133 (128)
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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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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Deformations of strongly pseudoconvex domains [PDF]
Manuscripta Mathematica, 2012 We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
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Pseudoconvex domains: An example with nontrivial nebenh�lle
Mathematische Annalen, 1977 John Erik Fornaess +2 more
exaly +3 more sources
Model Pseudoconvex Domains and Bumping [PDF]
International Mathematics Research Notices, 2011 28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
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On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
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Comptes Rendus. Mathématique, 2020 On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb{C}^{n}$ with Lipschitz boundary $b\Omega $, we prove the $L^2$ existence theorems of the $\overline{\partial }_b$-operator on $b\Omega $.
Saber, Sayed
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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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