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
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Publication:1318052
DOI10.1007/BF01444880zbMath0788.32010MaRDI QIDQ1318052
Publication date: 26 April 1994
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165035
(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Geometric convexity in several complex variables (32F99)
Related Items (7)
The Hartogs phenomenon in hypersurfaces with constant signature ⋮ Unnamed Item ⋮ On the solvability of linear partial differential equations in spaces of hyperfunctions ⋮ Gevrey local solvability in locally integrable structures ⋮ Local solvability in top degree of the semilinear Kohn equation ⋮ On local solvability of certain differential complexes ⋮ Local solvability of the \(\overline\partial\)-equation with boundary regularity on weakly \(q\)-convex domains
Cites Work
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- A vanishing theorem for a class of systems with simple characteristics
- \({\bar \partial}\)-problem on weakly \(q\)-convex domains
- Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Théorèmes de finitude pour la cohomologie des espaces complexes
- Homotopy formulas in the tangential Cauchy-Riemann complex
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