An extension theorem of holomorphic functions on hyperconvex domains

DOI10.1090/proc/14704zbMath1435.32002arXiv1811.06438OpenAlexW2963215102MaRDI QIDQ5206215

Yoshikazu Nagata, Seungjae Lee

Publication date: 18 December 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06438

zbMATH Keywords

plurisubharmonic functionsSerre dualityHartogs extension theoremDonnelly-Fefferman type estimate

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic functions of several complex variables (32A10) Plurisubharmonic exhaustion functions (32U10)

Related Items (2)

Cohomology of vector bundles and non-pluriharmonic loci ⋮ COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS

Cites Work

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• A Sobolev mapping property of the Bergman kernel
• Polynomial convexity, rational convexity, and currents
• Cohomology of non-pluriharmonic loci
• $L^{2}$ Serre duality on domains in complex manifolds and applications
• Hartogs type extension theorems on some domains in Kähler manifolds
• Foliations and complex monge-ampère equations
• Peak Points, Barriers and Pseudoconvex Boundary Points
• L² Approaches in Several Complex Variables

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