Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

Tapio Rajala, Aleksandra Zapadinskaya, Thomas Zürcher

We investigate how the integrability of the derivatives of Orlicz-Sobolev mappings defined on open subsets of ${\mathbb{R}}^n$ affect the sizes of the images of sets of Hausdorff dim…