Let \(f:D\to D\) be holomorphic. Show that \[ |f(z)-f(0)|\le |z(1-\overline {f(0)}f(z))| \] for all \(z\in D\).
Question
Math 6210 • Real Analysis
2004 • Question 6
Question
2004 • Question 6
Let \(f:D\to D\) be holomorphic. Show that \[ |f(z)-f(0)|\le |z(1-\overline {f(0)}f(z))| \] for all \(z\in D\).