Factorization of functions in generalized nevanlinna classes

Charles Horowitz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


For functions in the classical Nevanlinna class analytic projection of log|f(e)| produces logF(z) where F is the outer part of f; i.e., this projection factors out the inner part of f. We show that if log |f(z)| is area integrable with respect to certain measures on the disc, then the appropriate analytic projections of log |f| factor out zeros by dividing f by a natural product which is a disc analogue of the classical Weierstrass product. 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 canonical objects of complex analysis.

Original languageEnglish
Pages (from-to)745-751
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - 1999
Externally publishedYes


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