English

Stability for Borell-Brascamp-Lieb inequalities

Functional Analysis 2017-02-01 v3 Metric Geometry

Abstract

We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be L1L^1-close to be pp-concave and to coincide up to homotheties of their graphs.

Keywords

Cite

@article{arxiv.1607.05668,
  title  = {Stability for Borell-Brascamp-Lieb inequalities},
  author = {Andrea Rossi and Paolo Salani},
  journal= {arXiv preprint arXiv:1607.05668},
  year   = {2017}
}

Comments

to appear in GAFA Seminar Notes

R2 v1 2026-06-22T14:58:45.234Z