Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator

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dc.creatorStraube, Emil J.
dc.date2003-09-11
dc.date.accessioned2026-07-07T05:01:04Z
dc.date.available2026-07-07T05:01:04Z
dc.descriptionFor smooth bounded pseudoconvex domains in $mathbb{C}^{2}$, we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the $\bar{\partial}$-Neumann operator. It is noteworthy that the proof of compactness does \emph{not} proceed via verifying the known potential theoretic sufficient conditions.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0309200
dc.identifierhttp://arxiv.org/abs/math/0309200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68544
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject32W05
dc.titleGeometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator
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