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

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