Results 51 to 60 of about 579 (168)

The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains

, 2011
summary:On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb {C}^{n}$ with a Lipschitz boundary, we prove that the $\bar {\partial }$-Neumann operator $N$ satisfies a subelliptic $(1/2)$-estimate on $\Omega $ and $N$ can be extended as a bounded ...
Saber, Sayed
core   +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

Riemannian geometry of Hartogs domains [PDF]

, 2009
This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA, ZUDDAS, FABIO, ZUDDAS, F., Loi, A, DI SCALA A. J, Di Scala, Antonio Jose', Zuddas, F   +6 more
core   +1 more source

Compactness of the Complex Green Operator on C¹ Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari, Emad Solouma, Marin Marin, A. F. Aljohani, Sayed Saber   +4 more
doaj   +1 more source

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.
openaire   +2 more sources

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

Bekoll\'e-Bonami estimates on some pseudoconvex domains

, 2020
We establish a weighted $L^p$ norm estimate for the Bergman projection for a class of pseudoconvex domains. We obtain an upper bound for the weighted $L^p$ norm when the domain is, for example, a bounded smooth strictly pseudoconvex domain, a ...
Huo, Zhenghui, Wagner, Nathan A., Wick, Brett D.   +2 more
core  

SINGULARITIES OF THE BERGMAN KERNEL FOR A TWO-DIMENSIONAL PSEUDOCONVEX TUBE DOMAIN WITH CORNERS [PDF]

, 1995
We consider singularities of the Bergman kernel at corner point for a two-dimensional tube pseudoconvex domain with corners and obtain an asymptotic expansion from the microlocal point of ...
YAMAZAKI, SUSUMU, Yamazaki Susumu
core  

Embedding Strictly Pseudoconvex Domains Into Balls [PDF]

Transactions of the American Mathematical Society, 1986
Every relatively compact strictly pseudoconvex domain D D with
openaire   +2 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.
openaire   +3 more sources