Mappings of finite distortion: Gauge dimension of generalized quasicircles

被引：25

作者：

Herron, DA ^{[1
]}

Koskela, P

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Univ Jyvaskyla, Dept Math & Stat, SF-40351 Jyvaskyla, Finland

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2003年 / 47卷 / 04期

关键词：

D O I：

10.1215/ijm/1258138102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the correct dimension gauge for measuring generalized quasicircles (the images of a circle under so-called mu-homeomorphisms). We establish a sharp modulus of continuity estimate for the inverse of a homeomorphism with finite exponentially integrable distortion. We exhibit several illustrative examples.

引用

页码：1243 / 1259

页数：17

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