Observations regarding compactness in the $\overline{\partial}$-Neumann problem

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dc.creatorÇelik, Mehmet
dc.creatorStraube, Emil J.
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:22Z
dc.date.available2026-07-07T09:46:22Z
dc.descriptionWe show that compactness of the $\overline{\partial}$-Neumann operator is independent of the metric, and we give a new proof of this independence for subellipticity. We define an abstract obstruction to compactness, namely the common zero set of all the compactness multipliers, and we identify this subset of the boundary for convex domains in $\mathbb{C}^{n}$ and for complete Hartogs domains in $\mathbb{C}^{2}$.
dc.identifierhttps://arxiv.org/abs/0806.3783
dc.identifierhttp://arxiv.org/abs/0806.3783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163506
dc.subjectComplex Variables
dc.subject32W05
dc.titleObservations regarding compactness in the $\overline{\partial}$-Neumann problem
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