Sobolev and Hölder estimates for the $\overline{\partial }$ equation on pseudoconvex domains of finite type in ${\mathbb{C}}^2$

Ziming Shi

We prove a homotopy formula which yields almost sharp estimates in all (positive-indexed) Sobolev and Hölder-Zygmund spaces for the $\overline{\partial }$ equation on pseudoconvex do…