| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4664161 | Acta Mathematica Scientia | 2010 | 8 Pages |
Abstract
In this article, we establish distortion theorems for some various subfamilies of Bloch mappings defined in the unit polydisc Dn with critical points, which extend the results of Liu and Minda to higher dimensions. We obtain lower bounds of |det (f'(z))| and ℝ det (f'(z)) for Bloch mapping f. As an application, some lower and upper bounds of Bloch constants for the subfamilies of holomorphic mappings are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
