Generalized dimension estimates for images of porous sets in metric spaces
Aapo Kauranen · Annales Academiae Scientiarum Fennicae Mathematica · 2016
In Q-Ahlfors regular metric measure spaces we obtain essentially sharp dimension estimates for images of porous sets under Hajłasz-type Sobolev maps with L Q -gradient.The estimates generalize the previous results of Jones and Makarov [7] and Kauranen and Koskela [8].