Some functional inequalities under lower Bakry-Émery-Ricci curvature bounds with $\epsilon$-range

Yasuaki Fujitani

For $n$-dimensional weighted Riemannian manifolds, lower $m$-Bakry-Émery-Ricci curvature bounds with $\epsilon$-range, introduced by Lu-Minguzzi-Ohta, integrate constant lower b…