Geodesic
Adimensional weighted Sobolev inequalities in PI spaces
David Tewodrose1
1Nantes Université, Laboratoire de Mathématiques Jean Leray
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 351-379

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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.  
DOI : 10.54330/afm.113840
Keywords: Sobolev inequalities, metric measure spaces, doubling condition, Poincaré inequality, discretization method

David Tewodrose  1

1 Nantes Université, Laboratoire de Mathématiques Jean Leray 
David Tewodrose. Adimensional weighted Sobolev inequalities in PI spaces. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 351-379. doi: 10.54330/afm.113840
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