Resumen de A maximum principle for the Bergman space

Boris Korenblum

• Let f(z) and g(z) be holomorphic in the open unit disk D and let Zf and Zg be their zero sets. If Zf É Zg and |f(z)| = |g(z)| (1/2 e-2 < |z| < 1), then || f || = || g || where || · || is the Bergman norm: || f ||2 = p-1 ?D |f(z)|2 dm (dm is the Lebesgue area measure).