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20072023
most citedCalculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

288 citations · 1.7k across the 31 of their papers we have counts for

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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…