  We 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.
