6533b7defe1ef96bd127672b
RESEARCH PRODUCT
Mappings of finite distortion : boundary extensions in uniform domains
Tuomo AkkinenChang-yu Guosubject
mappings of finite distortionJohn domainMathematics - Complex Variablesradial limitsFOS: Mathematicsquasiregular mappingsweighted capacityComplex Variables (math.CV)uniform domain30C65description
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 on analytic functions, Poggi-Corradini and Rajala and Akkinen and Rajala on mappings of bounded and finite distortion.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-10-19 |