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Skew Carleson Measures in Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2018 19 ...
Marco Abate, Jasmin Raissy
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Approximation of holomorphic mappings on strongly pseudoconvex domains [PDF]
Forum Mathematicum, 2009 Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek +11 more
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Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]
Mathematische Zeitschrift, 2018 We prove that for a strongly pseudoconvex domain $D\subset\mathbb C^n$, the infinitesimal Carath\'eodory metric $g_C(z,v)$ and the infinitesimal Kobayashi metric $g_K(z,v)$ coincide if $z$ is sufficiently close to $bD$ and if $v$ is sufficiently close to
Bracci, Filippo +2 more
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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
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Strongly pseudoconvex domains as subvarieties of complex manifolds
American Journal of Mathematics, 2009 In this paper (a sequel to B. Drinovec Drnovsek and F. Forstneric, Holomorphic curves in complex spaces, Duke Math. J. 139 (2007), 203-253) we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly ...
Drnovsek, Barbara Drinovec +1 more
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
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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
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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.
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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
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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.
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