Recent content by dark_dingo

that the maximum of g(z) is reached on the boundary of g(z0) ?

Homework Statement Let g(z) be a function that is analytic and non-constant on D = {|z| < 1}. Suppose that Max |g(z)| \leq \frac{1}{r} for all 0< r <1, |z| = r. Use the Maximum Modulus Principle (or corollary) to prove that |g(z)| < 1 for all z \in D. Homework Equations...