Results 11 to 20 of about 934,965 (146)
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 the Corona Problem for Strongly Pseudoconvex Domains
Analysis Mathematica, 2022 In this note we solve that the corona problem for strongly pseudoconvex domains under a certain assumption on the level sets of the corona data.
Tikaradze, Akaki
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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
wiley +1 more source
Families of exposing maps in strictly pseudoconvex domains [PDF]
, 2021 We prove that given a family $(Gt)$ of strictly pseudoconvex domains varying in $C2$ topology on domains, there exists a continuously varying family of exposing maps $ht,ζ $ for all $Gt$ at every $ζ∈∂Gt$
Lewandowski, Arkadiusz
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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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Riemannian geometry of Hartogs domains [PDF]
, 2009 This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA +6 more
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Precise estimates of invariant distances on strongly pseudoconvex domains [PDF]
, 2023 Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carath\'eodory distance on $\mathcal{C}^{2,\alpha}$-smooth strongly pseudoconvex domains.
Nikolov, Nikolai +2 more
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On some extremal problems in Bergman spaces in weakly pseudoconvex domains [PDF]
, 2018 summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type
Mihić, Olivera R. +2 more
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Bott–Chern cohomology and q-complete domains [PDF]
, 2013 In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella +3 more
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