2 papers
math.CA2010
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 affect the sizes of the images of sets of Hausdorff dim…
math.CV2010
Generalized Dimension Distortion under Mappings of Sub-Exponentially Integrable Distortion
Tapio Rajala, Aleksandra Zapadinskaya, Thomas Zürcher
We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is essentially sharp in the plane.