Adimensional weighted Sobolev inequalities in PI spaces
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Published:2022-01-28
Issue:1
Volume:47
Page:351-379
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ISSN:2737-114X
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Container-title:Annales Fennici Mathematici
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language:
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Short-container-title:Ann. Fenn. Math.
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.
Publisher
Finnish Mathematical Society