Sobolev spaces for the weighted d-bar-Neumann operator

Abstract

We discuss compactness of the d-bar-Neumann operator in the setting of weighted L2-spaces on b Cn. 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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