3 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.
math.DS2010
Weakly controlled Moran constructions and iterated functions systems in metric spaces
Tapio Rajala, Markku Vilppolainen
We study the Hausdorff measures of limit sets of weakly controlled Moran constructions in metric spaces. The separation of the construction pieces is closely related to the Hausdor…