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Mappings of finite distortion : boundary extensions in uniform domains

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Äkkinen, T., & Guo, C.-Y. (2017). Mappings of finite distortion : boundary extensions in uniform domains. Annali di Matematica Pura ed Applicata, 196 (1), 65-83. doi:10.1007/s10231-016-0563-x
Published in
Annali di Matematica Pura ed Applicata
Authors
Äkkinen, Tuomo |
Guo, Chang-Yu
Date
2017
Discipline
Matematiikka
Copyright
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.

 
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 [7] on analytic functions, Poggi-Corradini and Rajala [20] and Akkinen and Rajala [2] on mappings of bounded and finite distortion.
Publisher
Springer
ISSN Search the Publication Forum
0373-3114
Keywords
quasiregular mappings mappings of finite distortion weighted capacity uniform domain John domain radial limits
DOI
10.1007/s10231-016-0563-x
URI

http://urn.fi/URN:NBN:fi:jyu-201711294410

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