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Distortion theorem for locally biholomorphic Bloch mappings on the unit ball B n ∗
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wang, Jianfei |
| Copyright Year | 2014 |
| Abstract | In this note, we establish a distortion theorem for locally biholomorphic Bloch mappings f satisfying ||f ||0 = 1 and det f ′(0) = α ∈ (0, 1], where ‖f‖0 = sup{(1− |z|) n+1 2n | det f ′(z)| 1 n : z ∈ B}. This result extends the result of Bonk, Minda and Yanagihara of one complex variable to higher dimensions. Moreover, a lower estimate for the radius of the largest univalent ball in the image of f centered at f(0) is given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.usm.my/bulletin/pdf/acceptedpapers/2014-02-012-R1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |