ABSTRACT
We first show that Re ll > 0, which will then lead to the desired contradiction. Since hP is convex and hP (0) = 0, by Theorem 2.6a [ Marx
(4.1-27)
Re W · Z = Re W + Re W ·( Z - 1) ~ Re W - I W 1.
(4.1-28) Re [C(pzo) - 1 ]hp(~o) ~ Re[C(pz 0
Since his convex we have lh'(z)l ~ lh'(O)I/(1 + p) 2 , for lzl = p < 1 ( see [ 103 ], Vol. I, p. 118 ). By setting z = p~0 we obtain (4.1-29)