ABSTRACT

As another extension, let c > 0 and consider the disk I w - c I < c + n. This disk lies in the set Rc,n (U) [see figure 2.5b ]. Hence the condition (2.5-14) I P(z) - c I < c + n

Figure 2.5b

We next prove the main theorem of this section concerning the existence

and analyticity of a general integral operator. The Open Door Lemma plays a

crucial role in the proof of this result.