Local solvability of the \(\overline\partial\)-equation with boundary regularity on weakly \(q\)-convex domains

DOI10.1007/s00208-005-0711-xzbMath1156.32303OpenAlexW2034256491MaRDI QIDQ816960

Judith Brinkschulte

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00208-005-0711-x

zbMATH Keywords

\(\overline\partial\)-equation with regularity up to the boundary

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Analytical consequences of geometric convexity (vanishing theorems, etc.) (32F32)

Related Items (2)

The \(\overline{\partial}_M\)-equation and the Hartogs phenomenon on weakly \(q\)-pseudoconcave CR manifolds ⋮ Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds

Cites Work

• Unnamed Item
• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
• Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
• On the \(C^ \infty\)-regularity of the \(\overline{\partial}\)-operator at the boundary of a domain in \(\mathbb{C}^ n\) whose Levi form has exactly \(s\) strictly negative eigenvalues
• Local solvability for \(\overline{\partial}\) with Gevrey regularity up to the boundary of a \(r\)- convex domain
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Homotopy formulas in the tangential Cauchy-Riemann complex
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds

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