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arxiv: 0903.1783 · v1 · submitted 2009-03-10 · 🧮 math.CV · math.AP

Compactness estimates for the overline partial - Neumann problem in weighted L² - spaces

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keywords spacesweightedcompactnessestimatesneumannpartialproblemdiscuss
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In this paper we discuss compactness estimates for the $\bar \partial $-Neumann problem in the setting of weighted $L^2$-spaces on $\mathbb{C}^n.$ For this purpose we use a version of the Rellich - Lemma for weighted Sobolev spaces.

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