A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity

DOI10.1007/s11118-015-9486-1zbMath1338.32030OpenAlexW575229509WikidataQ110233638 ScholiaQ110233638MaRDI QIDQ905630

Lisa Hed, Håkan Persson, Benny Avelin

Publication date: 27 January 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-015-9486-1

zbMATH Keywords

plurisubharmonic functionsboundary regularityReinhardt domainshyperconvex domainsbounded exhaustion functions

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Boundary behavior of harmonic functions in higher dimensions (31B25) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic exhaustion functions (32U10)

Related Items

Log-hyperconvexity index and Bergman kernel ⋮ Linear invariants of complex manifolds and their plurisubharmonic variations ⋮ Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains ⋮ The geometry of \(m\)-hyperconvex domains ⋮ Every bounded pseudo‐convex domain with Hölder boundary is hyperconvex ⋮ Holomorphic invariants of bounded domains ⋮ Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in \(\mathbb {CP}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• On completeness of invariant metrics of Reinhardt domains
• The general definition of the complex Monge-Ampère operator.
• First steps in several complex variables: Reinhardt domains
• Stetige streng pseudokonvexe Funktionen
• Hardy and Bergman spaces on hyperconvex domains and their composition operators
• Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
• A Remark on Bounded Strictly Plurisubharmonic Exhaustion Functions
• Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
• Some properties of Reinhardt domains
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Hyperconvexity of non-smooth pseudoconvex domains
• Approximation of plurisubharmonic functions

This page was built for publication: A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity