From: achille on
On Aug 9, 8:47 am, achille <achille_...(a)yahoo.com.hk> wrote:
>
> If it is (2), the map g one seek is one defined and holomorphic
> over a tubular neighbour of the circle and bijective when one
> restrict it to the unit circle. One can extend it to a holomorphic
> function over D using Cauchy integral formula and with minor
> modification, above argument still applies.
>

Forget what I say here! It is not true one can always 'extend it
to a holomorphic function over D using Cauchy integral formula'.

Sorry for the confusion ;-p