Solution operators for the \(\bar\partial\)-equation on non-transversal intersections of strictly pseudoconvex domains

DOI10.1007/BF01445231zbMath0748.32010MaRDI QIDQ1191411

Klaus Peters

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/164890

zbMATH Keywords

integral representationsCauchy-Riemann equationpseudoconvex domains

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ A solution operator for the \overline∂ equation in Sobolev spaces of negative index ⋮ Weighted Sobolev \(L^p\) estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Unnamed Item ⋮ Regularity of a \(\overline{\partial}\)-solution operator for strongly \(\mathbf{C}\)-linearly convex domains with minimal smoothness

Cites Work

• Unnamed Item
• Unnamed Item
• Uniform estimates for \(\bar \partial\) on the intersection of two strictly pseudoconvex \(\mathbb C^2\)-domains without transversality condition
• \(C^ k\)-regularity for the \({\bar \partial}\)-equation on strictly pseudoconvex domains with piecewise smooth boundaries
• Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen
• Randregularität des \({\bar \partial}\)-Problem für stückweise streng pseudokonvexe Gebiete in \({\mathbb C}^ n\). (Boundary regularity of the \({\bar \partial}\)-problem for piecewise strongly pseudoconvex domains in \({\mathbb C}^ n)\)
• Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Extension of C ∞ Functions Defined in a Half Space