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Compactness Estimates for the \( \bar \partial \)-Neumann Problem in Weighted L 2-spaces

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Complex Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this paper we discuss compactness estimates for the \( \bar \partial \)-Neumann problem in the setting of weighted L 2-spaces on ℂn. For this purpose we use a version of the Rellich-Lemma for weighted Sobolev spaces.

Partially supported by the FWF-grant P19147.

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Dedicated to Linda Rothschild

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Gansberger, K., Haslinger, F. (2010). Compactness Estimates for the \( \bar \partial \)-Neumann Problem in Weighted L 2-spaces. In: Complex Analysis. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0009-5_9

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