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arXiv · 2006.10493

Adimensional weighted Sobolev inequalities in PI spaces

David Tewodrose
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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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David Tewodrose. 2021-09-10. Adimensional weighted Sobolev inequalities in PI spaces. https://arxiv.org/abs/2006.10493

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