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arxiv: 1012.4333 · v1 · pith:7YBXSQFGnew · submitted 2010-12-20 · 🧮 math.CV

Compactness of the barpartial - Neumann operator on weighted (0,q)- forms

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keywords compactnessneumannoperatorpartialformsweightedapplicationcharacterization
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As an application of a new characterization of compactness of the $\bar\partial $-Neumann operator we derive a sufficient condition for compactness of the $\bar\partial $- Neumann operator on $(0,q)$-forms in weighted $L^2$-spaces on $\mathbb{C}^n.$

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