Geodesic
Some Sharp Poincaré Inequalities with Weights on Carnot Groups
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3
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We prove some weighted Poincaré inequalities on Carnot groups and obtain the sharp constants. These improve the corresponding results of Fausto Ferrari and Enrico Valdinoci.
Classification : Primary 26D10; 22E25 
@article{BMMS_2014_37_3_a4,
     author = {Ying-Xiong Xiao},
     title = {Some {Sharp} {Poincar\'e} {Inequalities} with {Weights} on {Carnot} {Groups}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a4/}
}
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Ying-Xiong Xiao. Some Sharp Poincaré Inequalities with Weights on Carnot Groups. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a4/