SU\G(饾敻)/K路U

THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

Moonja Jeong

Type: Article

Publication Date: 2011-08-31

Citations: 17

DOI: https://doi.org/10.7468/jksmeb.2011.18.3.275

Abstract

In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them.

Locations

  • The Pure and Applied Mathematics - View - PDF

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+ Function theory of one complex variable 1997 Robert E. Greene
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+ PDF Chat Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary 1994 D. Burns
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+ On Schwarz鈥檚 Lemma in Multiply Connected Domains 2005 Gerald Schmieder
+ Functions Starlike and Convex of Order 伪 1971 I. S. Jack
+ PDF Chat Covering Properties of Meromorphic Functions, Negative Curvature and Spherical Geometry 2000 Mario Bonk
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+ Breakthrough in Conformal Mapping 2008 James T. Case