Nevanlinna class
= Nevanlinna class
{c}
{title2=$N(\mathbb D)=\{f:\sup_{r<1}\int\log^+|f(r\xi)|\,dm(\xi)<\infty\}$}
The analytic Nevanlinna class consists of <holomorphic functions> on the <unit disc> with uniformly bounded means of their positive logarithmic modulus. Here $m$ is normalized angular measure. A bounded <holomorphic function> belongs to this class, but the class also permits unbounded functions. It is the analytic version of <bounded characteristic>.