preprint
Inserted: 3 may 2023
Last Updated: 13 nov 2025
Journal: Annales Fennici Mathematici
Volume: 47
Number: 1
Pages: 351–379
Year: 2022
Abstract:
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.