The Brascamp--Lieb inequality on compact Lie groups and its extinction on homogeneous Lie groups

Michael G. Cowling, Ji Li, Chong-Wei Liang

We study the Brascamp--Lieb inequalities on locally compact nonabelian groups and the Brascamp--Lieb constants $\mathbf{BL}(G,\mathbf{\sigma },\mathbf{p})$ associated to a Brasca…