Complex tangential flows and compactness of the $\bar{\partial}$- Neumann operator

Simple item page
dc.creatorMunasinghe, Samangi
dc.creatorStraube, Emil J.
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:21:00Z
dc.date.available2026-07-07T07:21:00Z
dc.descriptionWe provide geometric conditions on the set of boundary points of infinite type of a smooth bounded pseudoconvex domain in $\mathbb{C}^{n}$ which imply that the $\bar{\partial}$-Neumann operator is compact. These conditions are formulated in terms of certain short time flows in suitable complex tangential directions. It is noteworthy that compactness is \emph{not} established via the known potential theoretic sufficient conditions. Our results generalize to $\mathbb{C}^{n}$ the corresponding $\mathbb C^{2}$ results due to the second author.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0607685
dc.identifierhttp://arxiv.org/abs/math/0607685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115150
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject32W05
dc.titleComplex tangential flows and compactness of the $\bar{\partial}$- Neumann operator
dc.typetext

Files

Collections

arXiv