Hausdorff dimension of quasi-cirles of polygonal mappings and its applications | |
Huo ShengJin ; Tang ShuAn ; Wu ShengJian | |
2013 | |
关键词 | Hausdorff dimension Teichmuller space quasi-circle polygonal mapping |
英文摘要 | We show that the Hausdorff dimension of quasi-circles of polygonal mappings is one. Furthermore, we apply this result to the theory of extremal quasiconformal mappings. Let [A mu] be a point in the universal Teichmuller space such that the Hausdorff dimension of f (A mu)(I-Delta) is bigger than one. We show that for every k (n) a (0, 1) and polygonal differentials phi (n) , n = 1, 2, aEuro broken vertical bar, the sequence cannot converge to [A mu] under the Teichmuller metric.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 5; 1033-1040; 56 |
语种 | 英语 |
出处 | SCI |
出版者 | science china mathematics |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157483] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Huo ShengJin,Tang ShuAn,Wu ShengJian. Hausdorff dimension of quasi-cirles of polygonal mappings and its applications. 2013-01-01. |
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