Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Chu, Cho-Ho¹  Hamada, Hidetaka²  Honda, Tatsuhiro³  Kohr, Gabriela⁴ 

[1] Univ London, London E1 4NS, England

[2] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, 3-1 Matsukadai 2 Chome, Fukuoka 8138503, Japan

[3] Hiroshima Inst Technol, Hiroshima 7315193, Japan

[4] Univ Babes Bolyai, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania

关键词: Bloch constant;    Bloch mapping;    Bonk's distortion theorem;    Homogeneous unit ball;    JB*-triple;   

DOI  :  10.1016/j.jmaa.2016.04.035

来源: Elsevier

【 摘 要 】

We generalize Bonk's distortion theorem on the unit disc in the complex plane to locally biholomorphic mappings on finite dimensional bounded symmetric domains. As an application, we obtain a lower bound for the Bloch constant for various classes of locally biholomorphic Bloch mappings. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free