Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(6): 2053-2059

Printed November 1, 2013

https://doi.org/10.4134/BKMS.2013.50.6.2053

Copyright © The Korean Mathematical Society.

Sharpened forms of the Schwarz lemma on the boundary

B\"{u}lent Nafi \"{O}rnek

Gebze Institute of Technology

Abstract

In this paper, a boundary version of the Schwarz lemma is investigated. We obtain more general results at the boundary. Also, new inequalities of the Schwarz lemma at boundary is obtained and the sharpness of these inequalities is proved.

Keywords: Schwarz lemma on the boundary, holomorphic function, angular limit and derivative, Julia-Wolff-Lemma

MSC numbers: 30C80