Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 799-802

A SIMPLE PROOF FOR THE BOUNDARY SCHWARZ LEMMA FOR PLURIHARMONIC MAPPINGS

Hidetaka Hamada

Kyushu Sangyo University, Faculty of Engineering
3-1 Matsukadai, 2-Chome, Higashi-ku, Fukuoka 813-8503, Japan; h.hamada 'at' ip.kyusan-u.ac.jp

Abstract. In this paper, we give a simple proof for the boundary Schwarz lemma for pluriharmonic mappings between Euclidean unit balls. We also give some generalization to C¹-mappings between domains with smooth boundaries.

2010 Mathematics Subject Classification: Primary 32U05, 30C80.

Key words: Boundary Schwarz lemma, pluriharmonic mapping.

Reference to this article: H. Hamada: A simple proof for the boundary Schwarz lemma for pluriharmonic mappings. Ann. Acad. Sci. Fenn. Math. 42 (2017), 799-802.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4245