Microlocalisation et estimations pour \({\bar \partial}_ b\) dans quelques hypersurfaces pseudoconvexes. (Microlocalization and estimates for \({\bar \partial}_ b\) on some pseudoconvex hypersurfaces.)
The author investigates precise estimates for \({\bar \partial}_ b\) on hypersurfaces M, where the Levi matrix has a certain form. In particular, let m be the rank of the Lie algebra, he proves that the operator \({\bar \partial}_ b\) is \(\epsilon\)-sub-elliptic for (0,1)-forms with optimal \(\epsilon =1/m\).
scientific article; zbMATH DE number 4212630
scientific article