Calculus of Variations and Geometric Measure Theory

D. Tewodrose

Adimensional weighted Sobolev inequalities in PI spaces

created by tewodrose on 19 Nov 2020
modified on 24 Feb 2022

[BibTeX]

Published Paper

Inserted: 19 nov 2020
Last Updated: 24 feb 2022

Journal: Annales Fennici Mathematici
Volume: 47(1)
Pages: 351–379
Year: 2022

ArXiv: 2006.10493 PDF

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.