3 papers
math.AP2026
Remarks on Brunn-Minkowski-type inequalities related to the Ornstein-Uhlenbeck operator
Francisco Marín Sola, Francesco Salerno
We investigate Brunn-Minkowski-type inequalities for the torsional rigidity and the first eigenvalue associated with the Ornstein-Uhlenbeck operator. Counterexamples ar…
math.FA2025
Quantitative improvements of functional inequalities under concavity properties
Andreas Malliaris, Francisco Marín Sola
A classical result of Hensley provides a sharp lower bound for the functional , where is a non-negative, even log-concave function. In the context of stud…
math.MG2025
On general versions of the Petty projection inequality
Francisco Marín Sola
The classical Petty projection inequality is an affine isoperimetric inequality which constitutes a cornerstone in the affine geometry of convex bodies. By extending the polar proj…