© 2014, University of Illinois. We study mappings of finite distortion whose distortion functions are locally subexponentially integrable. We establish a local modulus of continuity estimate for the inverse of such a map. As applications, we describe the possible expansion and compression of certain Hausdorff measures and Minkowski contents under such mappings. We also exhibit examples that describe the extent to which our results are sharp.
|Journal||Illinois Journal of Mathematics|
|Publication status||Published - 1 Jan 2013|