Planar mappings of subexponentially integrable distortion --   integrability of distortion of inverses
  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 [J. Gill, Ann. Acad. Sci. Fenn. Math. 35 (2010), no. 1, 197--207]. 
Haiqing Xu
math.CV