Calculus of Variations and Geometric Measure Theory
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D. Tewodrose

Adimensional weighted Sobolev inequalities in PI spaces

created by tewodrose on 19 Nov 2020
modified on 11 Apr 2021


Accepted Paper

Inserted: 19 nov 2020
Last Updated: 11 apr 2021

Journal: Annales Academiæ Scientiarum Fennicæ Mathematica
Year: 2020

ArXiv: 2006.10493 PDF


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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