| Unique extremality, local extremality and extremal non-decreasable dilatations | |
| Yao, Guowu | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | BELTRAMI COEFFICIENTS Mathematics |
| 中文摘要 | Given a quasi-symmetric self-homeomorphism h of the unit circle S-1, let Q(h) be the set of all quasiconformal mappings with the boundary correspondence h. In this paper, it is shown that there exists certain quasi-symmetric homeomorphism h, such that Q(h) satisfies either of the conditions, (1) Q(h) admits a quasiconformal mapping that is both uniquely locallyextremal and uniquely extremal-non-decreasable instead of being uniquely extremal; (2) Q(h) contains infinitely many quasiconformal mappings each of which has an extremal non-decreasable dilatation. An infinitesimal version of this result is also obtained. |
| 语种 | 英语 ; 英语 |
| 出版者 | AUSTRALIAN MATHEMATICS PUBL ASSOC INC ; CANBERRA ; MATHEMATICS DEPT AUSTRALIAN NATIONAL UNIV, CANBERRA, ACT 0200, AUSTRALIA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14188]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Yao, Guowu. Unique extremality, local extremality and extremal non-decreasable dilatations[J],2010, 2010. |
| APA | Yao, Guowu.(2010).Unique extremality, local extremality and extremal non-decreasable dilatations.. |
| MLA | Yao, Guowu."Unique extremality, local extremality and extremal non-decreasable dilatations".(2010). |
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