Sup-norm Estimates for $\overline{\partial }$ in ${\mathbb{C}}^3$

Dusty Grundmeier, Lars Simon, Berit Stensønes

We develop a method for proving sup-norm and Hölder estimates for $\overline{\partial }$ on wide class of finite type pseudoconvex domains in ${\mathbb{C}}^n$. A fundamental obstructi…