Optimal Lipschitz Estimates for the $\bar{\partial }$ equation on a class of convex domains

Viet-Anh Nguyen, El Hassan Youssfi

In this paper, we consider the Cauchy-Riemann equation $\bar{\partial }u=f$ in a new class of convex domains in $\C^n.$ We prove that under $L^p$ data, we can choose a solution in t…