Article contents
On the decay of singular inner functions
Published online by Cambridge University Press: 02 December 2020
Abstract
It is known that if $S(z)$ is a non-constant singular inner function defined on the unit disk, then $\min _{|z|\le r}|S(z)|\to 0$ as $r\to 1^-$ . We show that the convergence can be arbitrarily slow.
MSC classification
- Type
- Article
- Information
- Copyright
- © Canadian Mathematical Society 2020
Footnotes
Research supported by grants from NSERC and the Canada research chairs program.
References
- 2
- Cited by