Results 61 to 70 of about 2,775,649 (193)
Skew Carleson Measures in Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2017 Given a bounded strongly pseudoconvex domain D in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
M. Abate, Jasmin Raissy
semanticscholar +1 more source
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 +1 more
wiley +1 more source
Gain of Regularity in Extension Problem on Convex Domains
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type. We prove that there exists a constant d such that on Bergman spaces Hp(D) with 1 ≤ p < d there appears the so‐called “gain regularity.” The constant d depends on the minimum of the dimension and the codimension of the subvariety.
M. Jasiczak, Alberto Fiorenza
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
ON TRACES OF ANALYTIC HERZ AND BLOCH TYPE SPACES IN BOUNDED STRONGLY PSEUDOCONVEX DOMAINS IN C^N
Проблемы анализа, 2014 In our paper we provide some direct extentions of our recent sharp results on traces in the analytic function spaces, which we proved earlier in case of the unit ball in C^n, to the case of the bounded strongly pseudoconvex domains with a smooth boundary.
R. F. Shamoyan, S. M. Kurilenko
doaj
Levi problem and semistable quotients
, 2012 A complex space $X$ is in class ${\mathcal Q}_G$ if it is a semistable quotient of the complement to an analytic subset of a Stein manifold by a holomorphic action of a reductive complex Lie group $G$.
Cox D +7 more
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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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
, 2006 It is shown that the Ramadanov conjecture implies the Cheng conjecture.
C.R. Graham +16 more
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