THE REAL PART OF AN OUTER FUNCTION AND A HELSON-SZEG¨O WEIGHT
THE REAL PART OF AN OUTER FUNCTION AND A HELSON-SZEG¨O WEIGHT
Suppose $F$ is a nonzero function in the Hardy space $H^1$. We study the set $\{f; f \mbox{ is outer and } |F| \le \mbox{Re } f \, \mbox{ a. e. on } \partial D\}$, where $\partial D$ is the unit circle. When $F$ is a strongly outer function in …