Mappings of finite distortion: boundary extensions in uniform domains
- Äkkinen, Tuomo Department of Mathematics and StatisticsUniversity of Jyväskylä, Finland
- Guo, Chang-Yu Department of Mathematics and StatisticsUniversity of Jyväskylä, Finland - Department of MathematicsUniversity of Fribourg, Switzerland
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01.02.2017
Published in:
- Annali di Matematica Pura ed Applicata (1923 -). - 2017, vol. 196, no. 1, p. 65–83
Quasiregular mappings
Mappings of finite distortion
Weighted capacity
Uniform domain
John domain
Radial limits
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 288680
- DOI 10.1007/s10231-016-0563-x
- Persistent URL
- https://folia.unifr.ch/unifr/documents/305433
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