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Homework Help: Analysis proof

  1. May 16, 2006 #1
    If S is a domain that is simply connected for S not equal to complex plane and z is in D. Assume g maps D into itself and f(z)=z.
    prove |f'(z)|<=1

    how should I do this? nowhere near the desired result.. help!
  2. jcsd
  3. May 16, 2006 #2

    matt grime

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    You might want to define D rather than let us assume that you mean the unit disc. It does however look a lot like Schwarz's Lemma, does it not?
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