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

Abstract

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.

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