Results 51 to 60 of about 10,275,715 (164)

Volume functionals on pseudoconvex hypersurfaces

International Journal of Mathematics
The focus of this paper is on a volume form defined on a pseudoconvex hypersurface [Formula: see text] in a complex Calabi–Yau manifold (that is, a complex [Formula: see text]-manifold with a nowhere-vanishing holomorphic [Formula: see text]-form). We begin by defining this volume form and observing that it can be viewed as a generalization of the ...
Simon Donaldson, Fabian Lehmann
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Non‐cyclicity and polynomials in Dirichlet‐type spaces of the unit ball

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3905-3919, December 2024.
Abstract We give a description of the intersection of the zero set with the unit sphere of a polynomial that is zero‐free in the unit ball of Cn${\mathbb {C}}^n$. This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet‐type spaces of the unit ball.
Dimitrios Vavitsas, Konstantinos Zarvalis   +1 more
wiley   +1 more source

Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0 ∈ bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0, δ0) ⊂ Ω ∪ {z0}.
Sanghyun Cho, Milan Pokorny
wiley   +1 more source

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.
Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley   +1 more source

Closed 3‐forms in five dimensions and embedding problems

Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.
Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley   +1 more source

Optimizing Artificial Neural Network Learning Using Improved Reinforcement Learning in Artificial Bee Colony Algorithm

Applied Computational Intelligence and Soft Computing, Volume 2024, Issue 1, 2024.
Artificial neural networks (ANNs) are widely used machine learning techniques with applications in various fields. Heuristic search optimization methods are typically used to minimize the loss function in ANNs. However, these methods can lead the network to become stuck in local optima, limiting performance.
Taninnuch Lamjiak, Booncharoen Sirinaovakul, Siriwan Kornthongnimit, Jumpol Polvichai, Aysha Sohail, Nadeem Sarwar   +5 more
wiley   +1 more source

Construction of P.S.H. functions on weakly pseudoconvex domains

Duke Mathematical Journal, 1989
In vorliegenden Arbeit wird ein neuer Beweis für die Tatsache gegeben, daß jeder Randpunkt eines glatten pseudokonvexen Gebietes \(\Omega \subset \subset {\mathbb{C}}^ 2\), das von endlichem Typ ist, Peak-Punkt bzgl. A(\({\bar \Omega}\)):\(=C({\bar \Omega})\cap {\mathcal O}(\Omega)\) ist. Dies war vom \textit{E. Bedford} und dem ersten Autor [Ann. Math.
Fornaess, John Erik, Sibony, Nessim
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The Investigation of Some Essential Concepts of Extended Fuzzy‐Valued Convex Functions and Their Applications

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo, M. R. Balooch Shahryari, O. Sedaghatfar, M. R. Shahriari, R. Saadati, S. Noeiaghdam, U. Fernandez-Gamiz, Ramin Ranjbarzadeh   +7 more
wiley   +1 more source

Pseudoconvexity properties of average cost functions

Numerical Algebra, Control & Optimization, 2015
It is well known that short run cost functions of firms are convex functions when production functions are concave [14]. Average cost minimization as a classical economics problem has been studied in fundamental textbooks [14,4,7,8] and in the literature [2,3,9,12,13,1].
Alexander S. Strekalovsky, N. Tungalag, Rentsen Enkhbat   +2 more
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On functional representation of locally m‐pseudoconvex algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 1999
Functional representation of a topological algebra (A, T) has been studied in many papers under various assumptions for the topology T on A. Usually the image of the Gelfand map has been equipped with the compact‐open topology. This leads, in several cases, to such kind of difficulties as, for instance, that the Gelfand map is not necessarily ...
openaire   +4 more sources