2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224473We apply integral representations for $(0,q)$-forms, $q\ge1$, on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains, to derive weighted $C^k$ estimates for a given $(0,q)$-form, $f$, in terms of $C^k$ norms of $\mdbar f$, and $\mdbar^{\ast} f$. The weights are powers of the gradient of the defining function of the domain.32 pagesComplex Variables32A25, 32W05, 35B65Weighted $C^k$ estimates for a class of integral operators on non-smooth domainstext