Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 429-437

PLANAR MAPPINGS OF SUBEXPONENTIALLY INTEGRABLE DISTORTION: INTEGRABILITY OF DISTORTION INVERSES

Haiqing Xu

University of Science and Technology of China, School of Mathematical Sciences
Hefei 230026, P.R. China; hqxu 'at' mail.ustc.edu.cn

Abstract. We establish the optimal regularity for the distortion of inverses of mappings of finite distortion with logarithm-iterated style subexponentially integrable distortion, which generalizes the Theorem 1 of [7].

2010 Mathematics Subject Classification: Primary 30C62.

Key words: Mappings of finite distortion, subexponential distortion, distortion of inverses.

Reference to this article: H. Xu: Planar mappings of subexponentially integrable distortion: integrability of distortion of inverses. Ann. Acad. Sci. Fenn. Math. 42 (2017), 429-437.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4225