Abstract
Let Omega subset of C-n be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the partial derivative-equation is compact on the boundary of Omega and is bounded in the Sobolev space W-r,s(k)(Omega) for some values of k. Moreover, we show that the Bergman projection and the partial derivative-Neumann operator are bounded in the Sobolev space W-r,s(k)(Omega) for some values of k. If Omega is smooth, we shall give sufficient conditions for compactness of the partial derivative-Neumann operator.