Inserted: 19 nov 2020
Last Updated: 11 apr 2021
Journal: Annales Academiæ Scientiarum Fennicæ Mathematica
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner-Schioppa spaces.