Results 41 to 50 of about 133 (128)
Toeplitz Algebras on Strongly Pseudoconvex Domains [PDF]
Nagoya Mathematical Journal, 2007 AbstractIn the present paper, it is proved that theK0-group of a Toeplitz algebra on any strongly pseudoconvex domain is always isomorphic to theK0-group of the relative continuous function algebra, and is thus isomorphic to the topologicalK0-group of the boundary of the relative domain.
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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
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AlgorithmsThis paper proposes an adaptive single-layer distributed neurodynamic optimization approach with the penalty method to address a non-smooth pseudoconvex optimization problem with affine equality and inequality constraints in multi-agent systems, where ...
Mantong Huang, Xin Yu, Rixin Lin
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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
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The Intrinsic Geometry on Bounded Pseudoconvex Domains [PDF]
The Journal of Geometric Analysis, 2017 The Diederich--Fornæss index has been introduced since 1977 to classify bounded pseudoconvex domains. In this article, we derive several intrinsic, geometric conditions on boundary of domains for arbitrary indexes. Many results, in the past, by various mathematicians estimated the index by assuming some properties of domains.
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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.
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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 +5 more
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Exact restrictions of analytic function spaces of several variables
Современная математика: Фундаментальные направленияIn this expository paper, we collect many recent advances in analytic function spaces of several complex variables related with the trace problem in tubular domains over symmetric cones and bounded strongly pseudoconvex domains with smooth boundary.
R. F. Shamoyan, N. M. Makhina
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Embedding Strictly Pseudoconvex Domains Into Balls [PDF]
Transactions of the American Mathematical Society, 1986 Every relatively compact strictly pseudoconvex domain D D with
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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 +7 more
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