Geometric function theory: Difference between revisions

Revision as of 06:10, 2 December 2015

Revision as of 21:29, 5 March 2016

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===Schwarz's Lemma===

{{main|Schwartz'sSchwarz Lemmalemma}}

The '''Schwarz lemma''', named after [[Hermann Amandus Schwarz]], is a result in [[complex analysis]] about [[holomorphic functions]] from the [[open set|open]] [[unit disk]] to itself. The lemma is less celebrated than stronger theorems, such as the [[Riemann mapping theorem]], which it helps to prove. It is however one of the simplest results capturing the rigidity of holomorphic functions.