Rearrangements and infimum convolutions
Probability
2025-08-12 v1 Analysis of PDEs
Functional Analysis
Abstract
We develop a general comparison result for inf convolution operators related to rearrangement. As a consequence we derive comparison results under spherically symmetric rearrangement for Laplace and polar transforms. As a by product we simplify existing proofs related to the functional Blaschke Santalo inequality of Keith Ball and derive a comparison result for some parabolic PDE.
Keywords
Cite
@article{arxiv.2508.07983,
title = {Rearrangements and infimum convolutions},
author = {Devraj Duggal and James Melbourne and Cyril Roberto},
journal= {arXiv preprint arXiv:2508.07983},
year = {2025}
}