A new multicomponent Poincar\'e-Beckner inequality
Functional Analysis
2019-08-09 v2
Abstract
We prove a new vectorial functional inequality of Poincar\'{e}-Beckner type. The inequality may be interpreted as an entropy-entropy production one for a gradient flow in the metric space of Radon measures. The proof uses subtle analysis of combinations of related super- and sub-level sets employing the coarea formula and the relative isoperimetric inequality.
Keywords
Cite
@article{arxiv.1603.06493,
title = {A new multicomponent Poincar\'e-Beckner inequality},
author = {S. Kondratyev and L. Monsaingeon and D. Vorotnikov},
journal= {arXiv preprint arXiv:1603.06493},
year = {2019}
}
Comments
Introduction added, some cosmetical issues fixed