Andrea Mondino

activity

20102026

most citedRiemannian Ricci curvature lower bounds in metric measure spaces with

σ

-finite measure

206 citations · 1.5k across the 62 of their papers we have counts for

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Showing 2013 · math.APShow all

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math.AP2013

On the Bakry-Émery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces

Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré

We prove higher summability and regularity of Γ(f) for functions f in spaces satisfying the Bakry-Émery condition BE(K,\infty). As a byproduct, we obtain various equivalent weak fo…

math.AP2013★ 55 cited

Li-Yau and Harnack type inequalities in $R C D^{*} (K, N)$ metric measure spaces

Nicola Garofalo, Andrea Mondino

Metric measure spaces satisfying the reduced curvature-dimension condition $C D^{*} (K, N)$ and where the heat flow is linear are called $R C D^{*} (K, N)$ -spaces. This class of non smooth sp…

On the Bakry-Émery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces

Li-Yau and Harnack type inequalities in RCD∗(K,N) metric measure spaces

Li-Yau and Harnack type inequalities in $R C D^{*} (K, N)$ metric measure spaces