Special Session 10: Sharp inequalities and nonlinear differential equations
Adams inequalities with exact growth conditions on metric measure spaces, and applications.
Carlo Morpurgo
University of Missouri USA
Co-Author(s): Liuyu Qin
Abstract:
I will present a recent general result on Adams inequalities for Riesz-Like potentials on metric measure spaces. I will then discuss applications of these results on various spaces, such as ${\mathbb R}^n$, the Heisenberg group and Riemannian manifolds with controlled curvature.