Adimensional weighted Sobolev inequalities in PI spaces

2020/06/18 by Tewodrose, David · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.10493

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.

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• Proper solutions of the 1/H-flow and the Green kernel of the p-Laplacian

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