DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n

wangjianfei; Liu Taishun; Tang Xiaomin

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DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n

wangjianfei *,Liu Taishun,Tang Xiaomin

zhejiang normal university

*Correspondence author

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Funding: 国家自然科学基金,教育部博士点基金,浙江省自然科学基金（No.10571164;20050358052;Y606197）

Opened online:13 January 2009

Accepted by: none

Citation: wangjianfei ,Liu Taishun,Tang Xiaomin.DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n[OL]. [13 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27735

In this paper, we establish distortion theorems for some various subfamilies of Bloch mappings defined in the unit polydisc $D^n$ with critical points, which extend the results of Liu and Minda to higher dimensions. We obtain lower bounds on $|\\\\det (f\\\

Keywords:Bloch constant;Bloch mapping;critical point

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