Schwarz's lemma

(redirected from Schwarz lemma)
Also found in: Wikipedia.

Schwarz's lemma

[′shvärt·səz ‚lem·ə]
(mathematics)
If an analytic function of the unit disk to itself sends the origin to the origin then it must be distance-decreasing.
References in periodicals archive ?
For example, during the author's discussion of the deeper meaning of the Schwarz lemma [A], we read that Ahlfors is said to have commented that, "There is an almost trivial fact and anybody who sees the need could prove it at once.
Apply the standard Schwarz lemma to the holomorphic function g1, we know