Q810299
type: Item
instance of: scholarly article
title: Microlocalisation et estimations pour \({\bar \partial}_ b\) dans quelques hypersurfaces pseudoconvexes. (Microlocalization and estimates for \({\bar \partial}_ b\) on some pseudoconvex hypersurfaces.)
zbMATH Open document ID: 0733.35081
DOI: 10.1007/BF01245093
published in: Inventiones Mathematicae
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143899
review text: 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 \(\epsilon =1/m\).
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 32W05
zbMATH DE Number: 4212630
zbMATH Keywords: Levi matrix
zbMATH Keywords: sub-elliptic
author: Makhlouf Derridj
reviewed by: J. Kajiwara
MaRDI profile type: Publication
cites work: A geometric characterization of points of type m on real submanifolds of \(\mathbb{C}^n\)
cites work: Boundary invariants of pseudoconvex domains
cites work: Finite type conditions for real hypersurfaces
cites work: Régularité pour \(\overline\partial\) dans quelques domaines faiblement pseudo-convexes
cites work: Q3361121
cites work: Q3361122
cites work: Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates
cites work: L 2 Estimates for the Boundary Laplacian Operator on Hypersurfaces
cites work: Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields)
cites work: Hypoelliptic second order differential equations
cites work: On stability for difference schemes; a sharp form of gårding's inequality
cites work: Hypoelliptic differential operators and nilpotent groups
cites work: Q3758148
OpenAlex ID: W2405014929
label: Microlocalisation et estimations pour \({\bar \partial}_ b\) dans quelques hypersurfaces pseudoconvexes. (Microlocalization and estimates for \({\bar \partial}_ b\) on some pseudoconvex hypersurfaces.)
description: scientific article; zbMATH DE number 4212630