Distortion theorems for Bloch functions

A function f holomorphic on the unit disk D is called a Bloch function if \\f\\(B) = sup{(1 - \z\(2))\f'(z)\:z is an element of D} < infinity. For alpha is an element of [0,1] let B-1(alpha) denote the class of Bloch functions which have the normalization \\f\\(B) less than or equal to 1, f(0) = 0 and f'(0) = alpha. A type of subordination theorem is established for B-1(alpha). This theorem yields numerous sharp growth, distortion, curvature and covering theorems for B-1(alpha).