Results 131 to 140 of about 217,307 (157)

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.Comment: 4 pages, to appear in Analysis ...
Tikaradze, Akaki
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Estimates of the $$\varvec{L^p}$$ L p Norms of the Bergman Projection on Strongly Pseudoconvex Domains

Integral Equations and Operator Theory, 2017
Zeljko C̆Uc̆Ković, C̆Uc̆Ković Zeljko   +1 more
exaly   +2 more sources

Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂ n

Complex Variables and Elliptic Equations, 2021
For a bounded domain , let denote the Bergman kernel on the diagonal and consider the reproducing kernel Hilbert space of holomorphic functions on D that are square integrable with respect to the weight , where is an integer.
Diganta Borah, Kaushal Verma
semanticscholar   +1 more source

Hilbert-Schmidt Hankel operators with harmonic symbols on the Bergman space of strongly pseudoconvex domains in ℂⁿ

Proceedings of the American Mathematical Society
We characterize Hilbert-Schmidt Hankel operators on the Bergman spaces of smooth bounded strongly pseudoconvex domains in $\mathbb{C}^n$ for $n \geq 2$.
Timothy G. Clos
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The Bergman–Fridman invariant on some classes of pseudoconvex domains [PDF]

Proceedings - Mathematical Sciences
We study the boundary behaviour of a variant of the Fridman's invariant function (defined in terms of the Bergman metric) on Levi corank one domains, strongly pseudoconvex domains, smoothly bounded convex domains in $ \mathbb{C}^n $ and polyhedral ...
Rahul Kumar, Prachi Mahajan
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Boundary Schwarz Lemma for Holomorphic Self-mappings of Strongly Pseudoconvex Domains

Complex Analysis and Operator Theory, 2015
In this paper, we generalize a recent work of Liu et al. from the open unit ball $${\mathbb {B}}^n\subset {\mathbb {C}}^n$$Bn⊂Cn to more general bounded strongly pseudoconvex domains with $$C^2$$C2 boundaries. It turns out that part of the main result in
Xieping Wang, G. Ren
semanticscholar   +2 more sources

Strongly pseudoconvex homogeneous domains in almost complex manifolds

Journal für die reine und angewandte Mathematik (Crelles Journal), 2008
Let \((M,J)\) be an almost complex manifold. A biholomorphism of \(M\) is a smooth map \(f: M \rightarrow M\) such that \(J \circ df = df \circ J\). If \(\rho\) is a \(C^2\) function on \(M\) its \(J\)-Levi form is defined as \( \mathcal{L} ^J \rho (v) = - d (J^*d\rho) (v, Jv)\). If \(\Omega \subset M\) is a domain, we say that \(p\in \partial \Omega\)
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Hankel operators on the Bergman spaces of strongly pseudoconvex domains

Integral Equations and Operator Theory, 1994
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Essential norm of Hankel operators on weighted Bergman spaces of strongly pseudoconvex domains

Annals of Functional Analysis
Zhicheng Zeng, Xiaofeng Wang, Jin Xia
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Weighted L estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness

Advances in Mathematics, 2021
Nathan A Wagner, Brett D Wick
exaly