Resumen de Hölder and Lp estimates for the solutions of the $\bar\partial$-equation in non-smooth strictly pseudoconvex domains

Josep M Burgués

• Let D be a bounded strict pseudoconvex non-smooth domain in Cn. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ?-equation with Lp-data in regular strictly pseudoconvex domains (see [2]) are also valid for D. We also give estimates of the same type for the ?b in the regular part of the boundary of these domains.