2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119263In 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 the Lipschitz space $Λ_α,$ where $α$ is an optimal positive number given explicitly in terms of $p.$Complex Variables32A22, 32A25text