1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor
    Homework Helper

    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?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...