English

$L^2$ estimates for the $\bar \partial$ operator

Complex Variables 2015-03-02 v1

Abstract

This is a survey article about L2L^2 estimates for the ˉ\bar \partial operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates for ˉ\bar \partial, to L2L^2 extension theorems, and to other problems in complex analysis and geometry, including invariant metric estimates and the ˉ\bar \partial-Neumann Problem.

Keywords

Cite

@article{arxiv.1502.08047,
  title  = {$L^2$ estimates for the $\bar \partial$ operator},
  author = {Jeffery D. McNeal and Dror Varolin},
  journal= {arXiv preprint arXiv:1502.08047},
  year   = {2015}
}

Comments

To appear in Bulletin of Mathematical Sciences

R2 v1 2026-06-22T08:40:07.842Z