Andreas Malliaris

collaborators

3 papers

math.FA2025

Functional Liftings of Restricted Geometric Inequalities

Andreas Malliaris, James Melbourne, Cyril Roberto +1

We investigate what we term "generalized sup-convolutions". We show that functional inequalities that enjoy an interpretation as sup-convolution inequalities can be deduced from th…

math.FA2025

Quantitative improvements of functional inequalities under concavity properties

Andreas Malliaris, Francisco MarÃn Sola

A classical result of Hensley provides a sharp lower bound for the functional $\int_{R} t^{2} f$ , where $f$ is a non-negative, even log-concave function. In the context of stud…

math.PR2025

Monotonicity of functionals associated to product measures via their Fourier transform and applications

Andreas Malliaris

Let $I^¼$ be a probability measure on $R$ . We give conditions on the Fourier transform of its density for functionals of the form $H(a)=\int_{\mathbb{R}^n}h(\langle a,x\ran…