Estimates for the partial differential-Neumann problem for pseudoconvex domains in C of finite type.
We outline results obtained for the partial differential-Neumann problem for an arbitrary pseudoconvex domain in C(2) of finite type. We obtain an approximation to the Neumann operator. A number of sharp estimates for the solution of partial differentialu = f are a consequence; one of these is an extension of the L(1) estimate of Henkin and Skoda used to characterize the zero sets of functions of the Nevanlinna class.
Department of Mathematics, The University of Maryland, College Park, MD 20742.
D C
DC
Chang
A
A
Nagel
E M
EM
Stein