ABSTRACT
Proof For f E ..JI 0 the proof of Lemma 1.2c can be modified to show that
lw(z)l ;::: ID(z)l/lh'(O)I .
Using this inequality together with (4.4-21) implies that condition (4.1-20) is
A simple case of this last theorem would correspond to the case when C(z) = 1 in (4.4-21). According to (4.4-20) this would occur if and only if <p and <1> are constants and A~y = 1. In this case condition (4.4-20) also yields B(z) = A(~+ y + 1) and we can use Theorem 4.1f to we obtain the following result. The proof is similar to that ofTheorem 4.4f and is omitted.
