Results 11 to 20 of about 897 (167)

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.
Bharali, Gautam
openaire   +3 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

Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cⁿ

Mathematics, 2019
The purpose of this paper is to study the Mergelyan approximation property in L p and C k -scales on certain weakly pseudoconvex domains of finite/infinite type in C n .
Shaban Khidr
doaj   +2 more sources

Rigid characterizations of pseudoconvex domains [PDF]

Indiana University Mathematics Journal, 2012
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
openaire   +5 more sources

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
openaire   +4 more sources

Families of Strictly Pseudoconvex Domains and Peak Functions. [PDF]

J Geom Anal, 2018
We prove that given a family (Gt) of strictly pseudoconvex domains varying in C2 topology on domains, there exists a continuously varying family of peak functions ht,ζ for all Gt at every ζ∈∂Gt
Lewandowski A.
europepmc   +2 more sources

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
core   +1 more source

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