English

Exact regularity of $\bar{\partial}$ on pseudoconvex domains in $\mathbb{C}^2$

Complex Variables 2018-11-14 v2

Abstract

We show there is a solution operator to ˉ\bar{\partial} which is bounded as a map W(0,1)s(Ω)\mboxkerˉWs(Ω)W^{s}_{(0,1)}(\Omega)\cap\mbox{ker }\bar{\partial}\rightarrow W^{s}(\Omega) for all s0s\ge 0.

Keywords

Cite

@article{arxiv.1508.04915,
  title  = {Exact regularity of $\bar{\partial}$ on pseudoconvex domains in $\mathbb{C}^2$},
  author = {Dariush Ehsani},
  journal= {arXiv preprint arXiv:1508.04915},
  year   = {2018}
}

Comments

error found in boundary equations resulting from modified Laplacian