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math.FA2022
On a geometric combination of functions related to Prékopa-Leindler inequality
Graziano Crasta, Ilaria Fragalà
We introduce a new operation between nonnegative integrable functions on , that we call geometric combination; it is obtained via a mass transportation approach, pla…
math.DG2022
Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel
Dorin Bucur, Ilaria Fragalà
For a general radially symmetric, non-increasing, non-negative kernel , we study the rigidity of measurable sets in with constant nonlocal -m…