On defining functions and cores for unbounded domains. II

DOI10.1007/s12220-017-9846-8zbMath1462.32038OpenAlexW2607098071WikidataQ122417536 ScholiaQ122417536MaRDI QIDQ2187676

T. Harz, Nikolay Shcherbina, Giuseppe Tomassini

Publication date: 3 June 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9846-8

zbMATH Keywords

\(q\)-pseudoconcavitycore of a complex manifoldLiouville-type propertiesWermer-type sets

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Strongly pseudoconvex domains (32T15)

Related Items

On the existence of Kobayashi and Bergman metrics for model domains ⋮ Unbounded Pseudoconvex Domains in $${\mathbb {C}}^n$$ and Their Invariant Metrics ⋮ Unbounded Kobayashi hyperbolic domains in \(\mathbb{C}^n\) ⋮ On defining functions and cores for unbounded domains. III ⋮ On compact subsets possessing strictly plurisubharmonic functions ⋮ A class of strictly pseudoconvex domains with non-pluripolar core ⋮ On smoothing of plurisubharmonic functions on unbounded domains

Cites Work

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• Sur le prolongement des courants positifs fermés
• Polynomial convexity
• Local maximum property and q-plurisubharmonic functions in uniform algebras
• Analytic set-valued functions and spectra
• A Liouville theorem on an analytic space
• Minimal kernels of weakly complete spaces
• Oka's inequality for currents and applications
• On the dimension of the Bergman space for some unbounded domains
• On defining functions and cores for unbounded domains. I
• Über den Flächeninhalt analytischer Mengen udn die Erzeugung k- pseudokonvexer Gebiete
• Liouville theorems based on symmetric diffusions
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• Complete locally pluripolar sets.
• On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
• Complete pluripolar curves and graphs
• Wermer type sets and extension of CR functions
• Zur Theorie der analytischen Mannigfaltigkeiten im Raume von \(n\) komplexen Veränderlichen