Adimensional weighted Sobolev inequalities in PI spaces
Analysis of PDEs
2021-09-13 v4
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.
Cite
@article{arxiv.2006.10493,
title = {Adimensional weighted Sobolev inequalities in PI spaces},
author = {David Tewodrose},
journal= {arXiv preprint arXiv:2006.10493},
year = {2021}
}
Comments
30 pages. This is the third version. Typos and mistakes have been corrected, notably in the proof of Proposition 3.1