Common zero sets of equivalent singular inner functions
Common zero sets of equivalent singular inner functions
Let $\mu $ and $\lambda$ be bounded positive singular measures on the unit circle such that $\mu \perp \lambda$. It is proved that there exist positive measures $\mu_0$ and $\lambda_0$ such that $\mu_0 \sim \mu$, $\lambda_0 \sim \lambda$, and $\{|\psi_{\m