Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces (Q1782060)

scientific article; zbMATH DE number 6938659

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English	Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces	scientific article; zbMATH DE number 6938659

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instance of

scholarly article

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title

Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces (English)

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18 September 2018

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zbMATH Keywords

plurisubharmonic exhaustion functions

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Levi-flat hypersurface

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Cauchy-Riemann operator

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10114-018-7411-4

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cites work

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Biholomorphic domains with inequivalent boundaries

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A Sobolev mapping property of the Bergman kernel

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Sobolev estimates for the ${\bar \partial}$-Neumann operator on domains in ${\mathbb{C}}^ n$ admitting a defining function that is plurisubharmonic on the boundary

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Estimates for the $\bar\partial$-Neumann problem and nonexistence of $C^2$ Levi-flat hypersurfaces in $\mathbb{C} P^n$

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Q5488772

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The $\bar\partial$-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in $\mathbb{C}P^n$ with $n \geq 3$

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$L^{2}$ Serre duality on domains in complex manifolds and applications

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The $L^2$-cohomology of a bounded smooth Stein domain is not necessarily Hausdorff

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Q4520911

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Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions

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Pseudoconvex domains: An example with nontrivial nebenhuelle

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On the displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces

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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries

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On Kähler manifolds of positive bisectional curvature and a theorem of Hartogs

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The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries

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Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in $\mathbb {CP}^n$

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Regularity of $\overline{\partial}$ on pseudoconcave compacts and applications

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$L^ 2$ estimates and existence theorems for the $\partial$-operator

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Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut

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A note on projective Levi flats and minimal sets of algebraic foliations

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Stein domains with Levi-plane boundaries on compact complex surfaces

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A Stein domain with smooth boundary which has a product structure

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Nonexistence of real analytic Levi flat hypersurfaces in ℙ<sup>2</sup>

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Bounded p.s.h. functions and pseudoconvexity in Kähler manifold

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The Diederich-Fornaess index and the global regularity of the $\bar \partial$-Neumann problem

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A Remark on Bounded Strictly Plurisubharmonic Exhaustion Functions

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Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension $\geq 3$

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Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif

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Q4347095

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published in

Acta Mathematica Sinica, English Series

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Identifiers

zbMATH Open document ID

1402.32032

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Mathematics Subject Classification ID

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10.1007/S10114-018-7411-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:1782060