Vol. 295, No. 2, 2018

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Boundary Schwarz lemma for nonequidimensional holomorphic mappings and its application

Yang Liu, Zhihua Chen and Yifei Pan

Vol. 295 (2018), No. 2, 463–476
Abstract

In this paper, we give a boundary Schwarz lemma for holomorphic mappings between nonequidimensional unit balls. As an application, a new boundary rigidity result is presented.

Keywords
Boundary Schwarz lemma, boundary rigidity, holomorphic mapping, unit ball
Mathematical Subject Classification 2010
Primary: 32H02
Secondary: 30C80
Milestones
Received: 16 October 2016
Revised: 27 May 2017
Accepted: 15 December 2017
Published: 11 April 2018
Authors
Yang Liu
Department of Mathematics
Zhejiang Normal University
Jinhua, 321004
China
Department of Mathematical Sciences
Indiana University-Purdue University Fort Wayne
Fort Wayne, IN 46805-1499
United States
Zhihua Chen
Department of Mathematics
Tongji University
Shanghai, 200092
China
Yifei Pan
Department of Mathematical Sciences
Indiana University-Purdue University Fort Wayne
Fort Wayne, IN 46805-1499
United States
School of Mathematics and Informatics
Jiangxi Normal University
Nanchang 330022
China