Mappings of finite distortion : boundary extensions in uniform domains
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
Julkaistu sarjassa
Annali di Matematica Pura ed ApplicataPäivämäärä
2017Oppiaine
MatematiikkaTekijänoikeudet
© 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.