Strong Stein neighbourhood bases

DOI10.1080/17476933.2010.534785zbMath1267.32036arXiv0705.0507OpenAlexW2963020716MaRDI QIDQ3143513

Sonmez Sahutoglu

Publication date: 30 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0507

zbMATH Keywords

pseudoconvex domainsd-bar-Neumann problemStein neighbourhood basis

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Boundary behavior of the squeezing function near a global extreme point ⋮ On the Steinness index ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ A geometric approach to Catlin's boundary systems

Cites Work

• Unnamed Item
• Stein neighborhoods
• De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
• Holomorphically convex sets in several complex variables
• Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
• Hypoellipticité pour l'opérateur \({\bar\partial}\). (Hypoellipticity of the \({\bar\partial}\)-operator)
• Differentiability of the Bergman kernel and pseudo-local estimates
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
• Real hypersurfaces, orders of contact, and applications
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• Pseudoconvex domains: Existence of Stein neighborhoods
• The Mergelyan property for weakly pseudoconvex domains
• Domains with pseudoconvex neighborhood systems
• Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen. Das Konvergenzproblem der Regularitätshüllen
• A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
• A note on plurisubharmonic defining functions in \(\mathbb{C}^2\)

This page was built for publication: Strong Stein neighbourhood bases