| 褚玉明,裘松良.内球性质和拟共形映射[J].数学年刊A辑,2009,30(4):455~466 |
| 内球性质和拟共形映射 |
| Interior Ball Property and Quasiconformal Mappings |
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| DOI： |
| 中文关键词: 拟共形映射 内球性质 拟球 拟圆 |
| 英文关键词:Quasiconformalmapping, Interior ball property, Quasiball, Quasidisk |
| 基金项目:国家自然科学基金，浙江省自然科学基金(No.D7080080;No.Y607128)资助的项目 |
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| 中文摘要: |
| 研究了一类具有内球性质区域的几何与分析性质,证明了f(∞)=∞的同胚f:-Rn→-Rn是拟共形映射当且仅当f保持区域的内球性质不变,并获得了该类区域若干有趣的几何性质. |
| 英文摘要: |
| The geometric and analytic properties for a
class of domains with the interior ball property are studied. The authors prove that a homeomorphism
$f:\overline R^n\to\overline R^n$ with $f(\infty)=\infty$ is a quasiconformal
mapping if and only if $f$ preserves the interior ball property, and obtain some
other interesting geometric properties for a domain with interior ball property. |
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