## Abstract

For functions in the classical Nevanlinna class analytic projection of log|f(e^{iθ})| 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 language | English |
---|---|

Pages (from-to) | 745-751 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 127 |

Issue number | 3 |

DOIs | |

State | Published - 1999 |

Externally published | Yes |