Factorization of functions in generalized Nevanlinna classes

For functions in the classical Nevanlinna class analytic projection of log \f (e(i theta))\ produces log F(z) where F is the outer part of f; i.e., th is projection factors out the inner part of f. We show that if log \f(z)\ i s area integrable with respect to certain measures on the disc, then the ap propriate analytic projections of log \f\ factor out zeros by dividing f by a natural product which is a disc analogue of the classical Weierstrass pr oduct. This result is actually a corollary of a more general theorem of M. Andersson. Our contribution is to give a simple one complex variable proof which accentuates the connection with the Weierstrass product and other can onical objects of complex analysis.