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Pointwise rotation for mappings with exponentially integrable distortion


Author: Lauri Hitruhin
Journal: Proc. Amer. Math. Soc. 144 (2016), 5183-5195
MSC (2010): Primary 30C65
DOI: https://doi.org/10.1090/proc/13155
Published electronically: May 24, 2016
MathSciNet review: 3556263
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Abstract: We prove an upper bound for the pointwise rotation of mappings with $ p$-exponentially integrable distortion. We also show that this bound is essentially optimal by providing examples which attain this rotation up to a constant multiplication.


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Additional Information

Lauri Hitruhin
Affiliation: Department of Mathematics and Statistics, P.O. Box 68, FIN-00014 University of Helsinki, Helsinki, Finland
Email: lauri.hitruhin@helsinki.fi

DOI: https://doi.org/10.1090/proc/13155
Keywords: Mappings of finite distortion, rotation, exponentially integrable distortion.
Received by editor(s): December 23, 2015
Received by editor(s) in revised form: February 2, 2016
Published electronically: May 24, 2016
Additional Notes: The author was financially supported by the Jenny and Antti Wihuri Foundation and by The Centre of Excellence in Analysis and Dynamics Research (Academy of Finland, decision 271983)
Communicated by: Jeremy Tyson
Article copyright: © Copyright 2016 American Mathematical Society