Volume 37 • Number 3 • 2014   • Some Sharp Poincaré Inequalities with Weights on Carnot Groups Ying-Xiong Xiao Abstract. 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. 2010 Mathematics Subject Classification: Primary 26D10; 22E25 Full text: PDF