A characterization of $F^{+}\cap N$
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- Proc. Amer. Math. Soc. 57 (1976), 97-98 Request permission
Abstract:
In this note we give a characterization of ${F^ + } \cap N$, where $N$ denotes the Nevanlinna class of functions of bounded characteristic and ${F^ + }$ denotes the containing Fréchet space of ${N^ + }$. We show that a holomorphic function $f \in {F^ + } \cap N$ if and only if $f(z) = g(z)/{S_\mu }(z)$, where $g \in {N^ + }$ and ${S_\mu }$ is a singular inner function with respect to a nonnegative continuous singular measure $\mu$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 97-98
- DOI: https://doi.org/10.1090/S0002-9939-1976-0399471-5
- MathSciNet review: 0399471