Estimates for the ∂̄-Neumann problem for pseudoconvex domains in C2 of finite type

摘要

We outline results obtained for the ∂̄-Neumann problem for an arbitrary pseudoconvex domain in C² of finite type. We obtain an approximation to the Neumann operator. A number of sharp estimates for the solution of ∂̄u = f are a consequence; one of these is an extension of the L¹ estimate of Henkin and Skoda used to characterize the zero sets of functions of the Nevanlinna class.