On the Bakry-Émery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces
We prove higher summability and regularity of \Gamma(f) for functions f in spaces satisfying the Bakry-\'Emery condition BE(K,\infty). As a byproduct, we obtain various equivalent weak formulations of BE(K,N) and we prove the Local-to-Global property of the RCD*(K,N) condition in locally compac...
Main Authors: | Ambrosio, L, Mondino, A, Savaré, G |
---|---|
Format: | Journal article |
Published: |
Springer Verlag
2014
|
Similar Items
-
Rigidity of the 1-Bakry–Émery inequality and sets of finite perimeter in RCD spaces
by: Ambrosio, L, et al.
Published: (2019) -
Nonlinear diffusion equations and curvature conditions in metric measure spaces
by: Ambrosio, L, et al.
Published: (2020) -
On the topology and the boundary of N-dimensional RCD(K,N) spaces
by: Kapovitch, V, et al.
Published: (2021) -
On the universal cover and the fundamental group of an $RCD^*(K,N)$-space
by: Mondino, A, et al.
Published: (2016) -
Gaussian-type isoperimetric inequalities in RCD $(K, \infty)$ probability spaces for positive $K$
by: Ambrosio, L, et al.
Published: (2016)