The Bergman projection and weighted $C^k$ estimates for the canonical solution to \dbar on non-smooth domains
Abstract
Description
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.
19 pages
19 pages