Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Pointwise rotation for mappings with exponentially integrable distortion

Author: Lauri Hitruhin
Journal: Proc. Amer. Math. Soc. 144 (2016), 5183-5195
MSC (2010): Primary 30C65
Published electronically: May 24, 2016
MathSciNet review: 3556263
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 30C65

Retrieve articles in all journals with MSC (2010): 30C65

Additional Information

Lauri Hitruhin
Affiliation: Department of Mathematics and Statistics, P.O. Box 68, FIN-00014 University of Helsinki, Helsinki, Finland

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

American Mathematical Society