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math.CA2026
Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study
Roberto Bramati, Luca Brandolini, Alessandro Monguzzi
We study -averaged discrepancies of finite sequences of points in the torus with respect to translated and dilated copies of convex bodies with non-smooth bound…
math.CA2019
A family of sharp inequalities on real spheres
Roberto Bramati
We prove a family of sharp multilinear integral inequalities on real spheres involving functions that possess some symmetries that can be described by annihilation by certain sets…