3 papers
math.DG2015
A Gromov's dimension comparison estimate for rectifiable sets
Valentino Magnani, Aleksandra Zapadinskaya
We extend the validity of a Gromov's dimension comparison estimate for topological hypersurfaces to sufficiently large classes of rectifiable sets, arising from Sobolev mappings. O…
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.