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Model pseudoconvex domains and bumping [PDF]
International Mathematics Research Notices, 2011 The Levi geometry at weakly pseudoconvex boundary points of domains in C^n, n \geq 3, is sufficiently complicated that there are no universal model domains with which to compare a general domain.
Bharali, Gautam
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Uniformization of strictly pseudoconvex domains [PDF]
Izvestiya: Mathematics, 2004 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent.
Nemirovski, Stefan, Shafikov, Rasul
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Families of Strictly Pseudoconvex Domains and Peak Functions. [PDF]
J Geom Anal, 2018 We prove that given a family $(G_t)$ of strictly pseudoconvex domains varying in $\mathcal{C}^2$ topology on domains, there exists a continuously varying family of peak functions $h_{t,\zeta}$ for all $G_t$ at every $\zeta\in\partial G_t.
Lewandowski A.
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2011 We prove that an open set $D$ in $\C^n$ is pseudoconvex if and only if for any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.Comment:
J. Thomas, Nikolai Nikolov, Pascal
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Approximation of holomorphic mappings on strongly pseudoconvex domains [PDF]
, 2008 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 +1 more
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On Bergman completeness of pseudoconvex Reinhardt domains [PDF]
, 1999 We give a precise description of Bergman complete bounded pseudoconvex Reinhardt domains.Comment: 13 ...
Włodzimierz Zwonek
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Corona theorem for strictly pseudoconvex domains [PDF]
Opuscula Mathematica, 2021 Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using
Sebastian Gwizdek
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ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
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WHAT IS...a Pseudoconvex Domain?
Notices of the American Mathematical Society, 2012 R. Michael Range
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On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
Shamoyan, R.F., Tomashevskaya, E.B.
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