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math.AP2017
Equality in Borell-Brascamp-Lieb inequalities on curved spaces
Zoltán M. Balogh, Alexandru Kristály
By using optimal mass transportation and a quantitative Hölder inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds. Accordingly,…
math.AP2017
Jacobian determinant inequality on corank 1 Carnot groups with applications
Zoltán M. Balogh, Alexandru Kristály, Kinga Sipos
We establish a weighted pointwise Jacobian determinant inequality on corank 1 Carnot groups related to optimal mass transportation akin to the work of Cordero-Erausquin, McCann and…