The Schwarz Lemma by Sean Dineen

The Schwarz Lemma



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The Schwarz Lemma Sean Dineen ebook
ISBN: 9780486801209
Publisher: Dover Publications
Page: 256
Format: pdf


Complex and Harmonic Analysis 2011. We also prove a distortion form of the Schwarz lemma, which is used in our arguments. Behaviour of analytic functions. Dissipative holomorphic functions. In the case when D is the unit disc U and p=0, this is Schwarz's lemma and the extremal functions for Schwarz's lemma for D and the point p in D. Aristotle University of Thessaloniki. We study the Schwarz lemma for harmonic functions and prove sharp The classical Schwarz lemma says that an analytic function f of the unit disk into. Oct 27, 2013 - 51 min - Uploaded by Steven MillerFriday October 25, 2013: The Schwarz Lemma. Phrase, “The so-called Schwarz Lemma says…”, followed by a reference to a 1912 paper of Carathéodory. In this article we explore versions of the Schwarz lemma at a boundary point of a Keywords: Schwarz lemma; holomorphic function; estimates on derivatives. Abstract: The Schwarz lemmas are well-known characterizations for holomorphic maps and we exhibit two examples of their applications.





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