Fractional Poincaré Inequalities in Various Settings

Abstract

We survey on several fractional Poincaré inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.

Keywords

• Gagliardo norms
• Fractional Poincaré inequalities
• Lie groups
• Riemannian manifolds
• Q-curvature