English

On supnorm estimates for $\bar\partial$ on infinite type convex domains in $\mathbb C^2$

Complex Variables 2009-11-13 v1

Abstract

In this paper, we study the ˉ\bar\partial-equation on some convex domains of infinite type in C2\mathbb C^2. In detail, we prove that supnorm estimates hold for infinite exponential type domains provided the exponent is less than 1.

Keywords

Cite

@article{arxiv.0911.2277,
  title  = {On supnorm estimates for $\bar\partial$ on infinite type convex domains in $\mathbb C^2$},
  author = {John Erik Fornaess and Lina Lee and Yuan Zhang},
  journal= {arXiv preprint arXiv:0911.2277},
  year   = {2009}
}

Comments

15 pages. submitted to J. Geom. Anal