English

The sharp quantitative barycentric isoperimetric inequality for bounded sets

Functional Analysis 2024-05-29 v1

Abstract

We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the 22-D case recently proved in~\cite{BCH}.

Keywords

Cite

@article{arxiv.2405.18138,
  title  = {The sharp quantitative barycentric isoperimetric inequality for bounded sets},
  author = {Chiara Gambicchia and Aldo Pratelli},
  journal= {arXiv preprint arXiv:2405.18138},
  year   = {2024}
}
R2 v1 2026-06-28T16:43:47.673Z