Results 21 to 30 of about 217,307 (157)
The Commutator of the Bergman Projection on Strongly Pseudoconvex Domains with Minimal Smoothness [PDF]
Journal of Functional Analysis, 2022 Consider a bounded, strongly pseudoconvex domain $D\subset \mathbb C^n$ with minimal smoothness (namely, the class $C^2$) and let $b$ be a locally integrable function on $D$.
Bingyang Hu +4 more
semanticscholar +5 more sources
Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains [PDF]
Journal of the London Mathematical Society, 2011 17 ...
Marco Abate, Alberto Saracco
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Mathematica MontisnigriIn this paper we extend some previously known results in the unit ball and in the unit disk on Bergman projections in bounded strongly pseudoconvex domains and in tubular domains over symmetric cones.
R. Shamoyan, N. M. Makhina
semanticscholar +2 more sources
The automorphism groups of strongly pseudoconvex domains
Mathematische Annalen, 1982 Let \(D_ 0\) be a \(C^{\infty}\) strongly pseudoconvex bounded domain in \({\mathbb{C}}^ n\) (or in a Stein manifold). The authors study the holomorphic automorphism groups Aut(D) of like domains that are \(C^{\infty}\) close to \(D_ 0\). Their main results are as follows: If D is sufficiently \(C^{\infty}\) close to \(D_ 0\), then Aut(D) is isomorphic
Robert E Greene +2 more
exaly +2 more sources
Let $D\subset\mathbb{C}^n$ with $n>1$ be a pseudoconvex domain, possibly unbounded, that contains a non-smooth strongly pseudoconvex polyhedral boundary point. We show that the Bergman metric of $D$ is not Einstein.
Huang, Xiaojun +2 more
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Special Toeplitz operators on strongly pseudoconvex domains
Revista Matemática Iberoamericana, 2006 Toeplitz operators on strongly pseudoconvex domains in \mathbb{C}^n , constructed from the Bergman projection and with symbol equal to a positive power of the distance to the boundary, are considered. The mapping properties of these operators on
Čučković , Željko +1 more
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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 +1 more source
∂-Problems on Strongly Pseudoconvex Domains [PDF]
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1973 Kenzō Adachi
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Admissible limits of bloch functions on bounded strongly pseudoconvex domains [PDF]
Bulletin of the Australian Mathematical Society, 1996 Let be a bounded strongly pseudoconvex domain with C2 boundary . In this paper we prove that for a Bloch function in the existance of radial limits at almost all implies the existence of admissible limits almost everywhere on .
Zhangjian Hu
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Manifolds of holomorphic mappings from strongly pseudoconvex domains [PDF]
Asian Journal of Mathematics, 2007 Let D be a bounded strongly pseudoconvex domain in a Stein manifold S and let Y be a complex manifold. We prove that the graph of any continuous map from the closure of D to Y which is holomorphic in D admits a basis of open Stein neighborhoods in S x Y.
Franc Forstnerič
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