English

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

Complex Variables 2015-02-05 v2

Abstract

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

Keywords

Cite

@article{arxiv.1410.3559,
  title  = {On closed range for $\bar{\partial}$},
  author = {A. -K. Herbig and J. D. McNeal},
  journal= {arXiv preprint arXiv:1410.3559},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T06:22:23.841Z