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Jul 22, 2019 at 8:37 vote accept b9c7d65g
Jul 22, 2019 at 8:37
Jul 22, 2019 at 7:49 comment added b9c7d65g Guess what... It turns out that we are citing Bochner’s formula too. Thanks!
Jul 8, 2019 at 11:25 comment added Nicola Gigli Have a look at it: it is THE standard tool to get Hessian estimates from Laplacian estimates in situations where there is some sort of `lower Ricci curvature bound'. Given that you mention the Bakry-Emery condition in your question, you might know that in some sense the weighted Euclidean space that you consider has Ricci curvature $\geq \lambda$
Jul 7, 2019 at 11:59 comment added b9c7d65g Thanks! I care about the estimate for each individual second derivative, but I have never heard about Bochner’s formula before. Thanks for letting me know!
Jul 6, 2019 at 23:03 history answered Nicola Gigli CC BY-SA 4.0