ZERO SETS OF FUNCTIONS IN THE NEVANLINNA OR THE NEVANLINNA-DJRBACHIAN CLASSES

Let Omega be a smoothly bounded convex domain of finite type in C-n. We show that a divisor in Omega satisfying the Blaschke condition (respectively associated to a current of order a > 0) can be defined by a function in the Nevanlinna class N-0(Omega) ( respectively the Nevanlinna-Djrbachian class N-a(Omega)). The proof is based on L-1 (b Omega) estimates (resp. weighted L-1(Omega) estimates) for the solution of the <()over bar>-equationon Omega.