Randregularität des \({\bar\partial}\)-Problems für die Halbkugel in \({\mathbb{C}}^ n\). (Boundary regularity of the \({\bar\partial}\)-problem for the half ball in \({\mathbb{C}}^ n)\)

DOI10.1007/BF01186647zbMath0592.32016OpenAlexW2912291736MaRDI QIDQ1075467

Joachim Michel

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155140

zbMATH Keywords

uniform estimatesintegral formulasstrongly pseudoconvex domaininhomogeneous Cauchy-Riemann equationsregularity estimates for the \({\bar \partial }\)-operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Estimations höldériennes pour les equations de Cauchy-Riemann dans les convexes compacts de \(\mathbb{C}^ n\). (Hölder estimates for the Cauchy-Riemann equations in compact convex sets of \(\mathbb{C}^ n\)) ⋮ 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 \({\mathbb C}^ n)\) ⋮ Boundary regularity for the local \(\overline\partial{}_b\)-complex on certain weakly pseudoconvex surfaces

Cites Work

• Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen
• Fundamental solutions in complex analysis. I. The Cauchy Riemann operator