Sobolev space projections in strictly pseudoconvex domains Academic Article

The orthogonal projection from a Sobolev space W s ( ) {W^s}(Omega ) onto the subspace of holomorphic functions is studied. This analogue of the Bergman projection is shown to satisfy regularity estimates in higher Sobolev norms when Omega is a smooth bounded strictly pseudoconvex domain in C n {{mathbf {C}}^n} .