On closed range for $\bar{\partial }$

Abstract

A sufficient condition for $\bar{\partial }$ to have closed range is given for pseudoconvex, possibly unbounded domains in ${\mathbb{C}}^n$.

17 pgs; Equality (8.9) in the previous version is incorrect, hence the presented proof for the closed range property of the dbar operator percolating up the dbar-complex is invalid. Section 8 is deleted in this version