2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224474We apply integral representations for functions on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains, to derive weighted $C^k$ estimates for the component of a given function, $f$, which is orthogonal to holomorphic functions in terms of $C^k$ norms of $\mdbar f$. The weights are powers of the gradient of the defining function of the domain.19 pagesComplex Variables32A25, 32W05text