Existence and compactness for the \(\overline\partial\)-Neumann operator on \(q\)-convex domains

DOI10.1007/s00229-014-0661-2zbMath1314.32051OpenAlexW2461583884MaRDI QIDQ404029

Nguyen Xuan Hong, Le Mau Hai, Nguyen Quang Dieu

Publication date: 29 August 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-014-0661-2

zbMATH Keywords

\(q\)-convex domainscompactnessd-bar-Neumann operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Plurisubharmonic functions and generalizations (32U05)

Cites Work

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• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
• The Donnelly-Fefferman theorem on \(q\)-pseudoconvex domains
• Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
• Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• \(L^{2}\)-approximation of differential forms by \(\bar {\partial}\)-closed ones on smooth hypersurfaces
• Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces