Mappings of exponentially integrable distortion: Decay of the Jacobian
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Abstract:
We establish an integrability result on the reciprocal of the Jacobian determinant for a mapping of exponentially integrable distortion and thus answer a question raised by S. Hencl and P. Koskela.References
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Additional Information
- Antti Räbinä
- Affiliation: Department of Mathematics and Statistics, P.O. Box 35 (MaD) FI-40014 University of Jyväskylä, Finland
- Email: antti.t.rabina@jyu.fi
- Received by editor(s): October 4, 2016
- Received by editor(s) in revised form: June 8, 2017, and June 14, 2017
- Published electronically: April 4, 2018
- Additional Notes: The author was supported by the Academy of Finland.
- Communicated by: Jeremy Tyson
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2897-2907
- MSC (2010): Primary 30C65
- DOI: https://doi.org/10.1090/proc/13860
- MathSciNet review: 3787352