Lokale Kerne und beschränkte Lösungen für den \(\bar\partial\)-Operator auf \(q\)-konvexen Gebieten

DOI10.1007/BF01419585zbMath0277.35045MaRDI QIDQ1393542

Wolfgang Fischer, Ingo Lieb

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/162573

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

Related Items

Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary ⋮ A Jump Theorem with Uniform Estimates for \documentclass{article}\pagestyle{empty}\begin{document}$\mathop \partial \limits_b^ - $\end{document}_b-closed Forms on Real Hypersurfaces ⋮ Unnamed Item ⋮ Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen ⋮ Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains ⋮ Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains ⋮ Uniform estimates for the Cauchy-Riemann equation on \(q\)-convex wedges ⋮ C\(^k\) approximation by holomorphic functions and \(\bar \partial\)-closed forms on C\(^k\) submanifolds of a complex manifold ⋮ A separation theorem and Serre duality for the Dolbeault cohomology ⋮ Boundary properties of holomorphic functions of several complex variables ⋮ The \(\bar{\partial}\)-equation on an annulus between two strictly \(q\)-convex domains with smooth boundaries ⋮ Beschränkte Lösungen der Cauchy-Riemannschen Differentialgleichungen auf \(q\)-konkaven Gebieten ⋮ \({\bar \partial}\)-problem on weakly \(q\)-convex domains ⋮ On integral representations and a priori Lipschitz estimates for the canonical solution of the \(\partial\)-equation ⋮ Unnamed Item ⋮ Hölder estimates for local solutions for \(\overline\partial\) on a class of nonpseudoconvex domains ⋮ A local Martinelli-Bochner formula on hypersurfaces

Cites Work

• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Unnamed Item