Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces

Details Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces

2009-03-10

arxiv.org/abs/0903.1783v1

Mathematics

Complex Variables

14 pages, Proccedings of the Conference on Complex Analysis 2008, in honour of Linda Rothschild, to appear

Scientific paper

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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