Regularity of the \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\overline{\partial }}$\end{document}-equation and Liouville's theorem for pseudoconcave compacts in \documentclass{article}\usepackage{amssymb}\begin{document}

DOI10.1002/MANA.201200104zbMath1316.32022OpenAlexW1494609007MaRDI QIDQ2852446

Judith Brinkschulte

Publication date: 8 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200104

zbMATH Keywords

extension of holomorphic sectionspseudoconcave domainregularity of \(\overline{\partial}\)

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) CR manifolds as boundaries of domains (32V15)

Cites Work

• Unnamed Item
• The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
• A Sobolev mapping property of the Bergman kernel
• Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
• Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
• Classes de Bergman de fonctions harmoniques
• Regularity of \(\overline{\partial}\) on pseudoconcave compacts and applications

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