Mappings of finite distortion: boundary extensions in uniform domains

被引：0
作者：
Tuomo Äkkinen
Chang-Yu Guo
机构：
[1] University of Jyväskylä,Department of Mathematics and Statistics
[2] University of Fribourg,Department of Mathematics
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2017年 / 196卷
关键词：
Quasiregular mappings; Mappings of finite distortion; Weighted capacity; Uniform domain; John domain; Radial limits; 30C65; 30C80; 31B15;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary, and moreover, these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall (Am J Math 107(5):1015–1033, 1985) on analytic functions, Poggi-Corradini and Rajala (J Lond Math Soc (2) 76(2):531–544, 2007) and Äkkinen and Rajala [2] on mappings of bounded and finite distortion.
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页码：65 / 83
页数：18
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