Results 11 to 20 of about 1,775 (74)
Skew Carleson Measures in Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2018 19 ...
Marco Abate, Jasmin Raissy
openaire +6 more sources
The pluricomplex Poisson kernel for strongly pseudoconvex domains [PDF]
Advances in Mathematics, 2021 In this paper we introduce, via a Phragmen-Lindel f type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricomplex Poisson kernel} because it shares many properties with the classical Poisson kernel of the unit disc.
Bracci, Filippo +2 more
openaire +4 more sources
Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
openaire +3 more sources
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains
Constructive Approximation, 2023 v4 (final version, to appear in Constructive Approximation)
Green, A. Walton, Wagner, Nathan A.
openaire +3 more sources
Holomorphic Families of Strongly Pseudoconvex Domains in a Kähler Manifold [PDF]
The Journal of Geometric Analysis, 2020 Let $p:X\rightarrow Y$ be a surjective holomorphic mapping between K hler manifolds. Let $D$ be a bounded smooth domain in $X$ such that every generic fiber $D_y:=D\cap p^{-1}(y)$ for $y\in Y$ is a strongly pseudoconvex domain in $X_y:=p^{-1}(y)$, which admits the complete K hler-Einstein metric.
Choi, Young-Jun, Yoo, Sungmin
openaire +2 more sources
Deformations of strongly pseudoconvex domains [PDF]
Manuscripta Mathematica, 2012 We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
openaire +2 more sources
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.
openaire +2 more sources
EMBEDDING BORDERED RIEMANN SURFACES IN STRONGLY PSEUDOCONVEX DOMAINS
Revue Roumaine Mathematiques Pures Appliquees, 2023 We show that every bordered Riemann surface, M, with smooth boundary bM admits a proper holomorphic map M → Ω into any bounded strongly pseudoconvex domain Ω in Cn, n > 1, extending to a smooth map f : M → Ω which can be chosen an immersion if n ≥ 3 and an embedding if n ≥ 4.
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
Equidistribution theorems on strongly pseudoconvex domains
Transactions of the American Mathematical Society, 2018 26 ...
Hsiao, Chin-Yu, Shao, Guokuan
openaire +3 more sources