2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222829In 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 appearComplex VariablesAnalysis of PDEs32W05; 32A36; 35J10Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spacestext