We survey on several fractional Poincaré inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.
@article{7796, title = {Fractional Poincar\'e Inequalities in Various Settings}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2018}, doi = {10.6092/issn.2240-2829/7796}, language = {EN}, url = {http://dml.mathdoc.fr/item/7796} }
Sire, Yannick; Wang, Yi. Fractional Poincaré Inequalities in Various Settings. Bruno Pini Mathematical Analysis Seminar, (2018), . doi : 10.6092/issn.2240-2829/7796. http://gdmltest.u-ga.fr/item/7796/