On Weighted $L^p$-Sobolev Estimates for Solutions of the $\overline{\partial }$-equation on Lineally Convex Domains of Finite Type and Application

P. Charpentier, Y. Dupain

We obtain some weighted $L^p$-Sobolev estimates with gain on $p$ and the weight for solutions of the $\overline{\partial }$-equation in lineally convex domains of finite type in $…