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

Abstract

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

error found in boundary equations resulting from modified Laplacian