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arXiv · 1707.05136

Sobolev spaces for the weighted d-bar-Neumann operator

Friedrich Haslinger
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Abstract

We discuss compactness of the d-bar-Neumann operator in the setting of weighted L^2-spaces on b C^n. In addition we describe an approach to obtain the compactness estimates for the d-bar-Neumann operator. For this purpose we have to define appropriate weighted Sobolev spaces and prove an appropriate Rellich - Kondrachov lemma.

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Friedrich Haslinger. 2017-07-17. Sobolev spaces for the weighted d-bar-Neumann operator. https://arxiv.org/abs/1707.05136

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