The $$\overline \partial $$ -Neumann operator on Lipschitz q-pseudoconvex domains

DOI10.1007/s10587-011-0021-2zbMath1249.32016OpenAlexW2034895225MaRDI QIDQ3118050

Sayed Saber

Publication date: 1 March 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197031

zbMATH Keywords

Sobolev estimateLipschitz domain\(q\)-pseudoconvex domain\(\bar {\partial }\) operator\(\bar {\partial }\)-Neumann operator

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Cites Work

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• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
• Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
• The Donnelly-Fefferman theorem on \(q\)-pseudoconvex domains
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
• Solution of the \(\overline\partial\)-Neumann problem on a bi-disc
• The \(\overline\partial\)-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions
• Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Harmonic integrals on strongly pseudo-convex manifolds. II
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• Solution of the Neumann problem on a non-smooth domain
• Pseudolocal estimates for bar partial on general pseudoconvex domains
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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