Hypercontractivity Property and General Optimal -Entropy Inequalities on Riemannian Manifolds
MT Alves, J Ceccon, HP Oquendo - Bulletin of the Brazilian Mathematical …, 2018 - Springer
Let (M, g) be an-dimensional smooth compact Riemannian manifold without boundary with n
≥ 2 n≥ 2. We prove that the optimal Riemannian p-entropy inequality ∫ _M| u|^ p\log (| u …
≥ 2 n≥ 2. We prove that the optimal Riemannian p-entropy inequality ∫ _M| u|^ p\log (| u …