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math.FA2026
On cost-induced Santaló-type inequalities in Polish measure spaces
Dylan Langharst, Andreas Malliaris, Michael Roysdon
We introduce a framework for establishing Blaschke-Santaló-type inequalities on -tuples of Polish measure spaces coupled together by a continuous cost function. Central to our a…
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.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…