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Geometric Analysis on the Diederich-Forn{\ae}ss Index - MaRDI portal

Geometric Analysis on the Diederich-Forn{\ae}ss Index (Q4578292)

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scientific article; zbMATH DE number 6914896

Language	Label	Description	Also known as
English	Geometric Analysis on the Diederich-Forn{\ae}ss Index	scientific article; zbMATH DE number 6914896

Statements

scholarly article

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Steven G. Krantz

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Marco M. Peloso

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publication date

8 August 2018

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full work available at URL

https://arxiv.org/abs/1606.02343

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zbMATH Keywords

pseudoconvex domain

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plurisubharmonic function

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Diederich-Fornæss index

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.CV

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math.DG

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A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Plurisubharmonic defining functions of weakly pseudoconvex domains in \({\mathbb{C}}^ 2\)

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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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De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem

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Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains

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Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)

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Pseudoconvex domains: An example with nontrivial nebenhuelle

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Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions

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Pseudoconvex domains: Existence of Stein neighborhoods

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A note on plurisubharmonic defining functions in \(\mathbb{C}^2\)

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A note on plurisubharmonic defining functions in \({\mathbb{C}^{n}}\)

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

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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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Convex defining functions for convex domains

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Oka's lemma, convexity, and intermediate positivity conditions

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Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut

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Analysis and geometry on worm domains

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Introduction to Smooth Manifolds

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Lower bounds on the Bergman metric near a point of finite type

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Local and global plurisubharmonic defining functions

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

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Käahler identity on Levi flat manifolds and application to the embedding

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Riemannian Geometry

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4578292

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