Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains

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• 作者：Cho-Ho Chu^a ; ^{c.chu@qmul.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Hidetaka Hamada^b ; ^{h.hamada@ip.kyusan-u.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Tatsuhiro Honda^c ; ^{thonda@cc.it-hiroshima.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Gabriela Kohr^d ; ^{gkohr@math.ubbcluj.ro" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bloch constant ; Bloch mapping ; Bonk's distortion theorem ; Homogeneous unit ball ; JB⁎-triple
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：441
• 期：2
• 页码：830-843
• 全文大小：371 K

文摘

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.