Mappings of exponentially integrable distortion: Decay of the Jacobian-Reference-Cited by-同舟云学术

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Mappings of exponentially integrable distortion: Decay of the Jacobian

Published:2018-04-04 Issue:7 Volume:146 Page:2897-2907
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Räbinä Antti

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.

Funder

Academy of Finland

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-07/S0002-9939-2018-13860-5/proc13860_AM.pdf

Reference9 articles.

1. Area distortion of quasiconformal mappings;Astala, Kari;Acta Math.,1994

2. Lecture Notes in Mathematics;Hencl, Stanislav,2014

3. Mappings of finite distortion: reverse inequalities for the Jacobian;Hencl, Stanislav;J. Geom. Anal.,2007

4. The Gehring lemma;Iwaniec, Tadeusz,1998

5. Oxford Mathematical Monographs;Iwaniec, Tadeusz,2001

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