3 citations · 6 across the 5 of their papers we have counts for
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math.FA2020★ 3 cited
Metrics and Isometries for Convex Functions
Ben Li, Fabian Mussnig
We introduce a class of functional analogs of the symmetric difference metric on the space of coercive convex functions on with full-dimensional domain. We show that…
math.FA2020
Affine invariant maps for log-concave functions
Ben Li, Carsten Schütt, Elisabeth M. Werner
Affine invariant points and maps for sets were introduced by Grünbaum to study the symmetry structure of convex sets. We extend these notions to a functional setting. The role of s…
math.FA2020★ 1 cited
The Existence of Extremizers of Blaschke-Santaló Type Inequalities
Ben Li
We discuss a topological structure on families of convex functions and then apply it to show the existence of extrimizers for the functional Santaló inequality with respect to pola…