Results 11 to 20 of about 4,865 (165)

On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains

Journal of Function Spaces, 2015
New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains ...
Romi F. Shamoyan, Olivera R. Mihić
doaj   +2 more sources

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
doaj   +2 more sources

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, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source

[Retracted] An Evaluation Model of Urban‐Rural Exchange Teachers in Elementary School Based on Optimal Control Neural Network

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

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
wiley   +1 more source

On some new estimates for integrals of the square function and analytic Bergman type classes in some domains in  Cn

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.
doaj   +1 more source

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
openaire   +3 more sources

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
core   +5 more sources

Projected Composition Operators on Pseudoconvex Domains [PDF]

Integral Equations and Operator Theory, 2021
Let $ \subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 ( )$ denote its Bergman space. Let $P:L^2( )\longrightarrow A^2( )$ be the Bergman projection. For a measurable $ : \longrightarrow $, the projected composition operator is defined by $(K_ f)(z) = P(f \circ )(z), z \in , f\in A^2 ( ).$ In 1994, Rochberg studied ...
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Discs in pseudoconvex domains

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
openaire   +2 more sources