A new multicomponent Poincare-Beckner inequality

作者:Kondratyev Stanislav; Monsaingeon Leonard; Vorotnikov Dmitry*
来源:Journal of Functional Analysis, 2017, 272(8): 3281-3310.
DOI:10.1016/j.jfa.2016.12.018

摘要

We prove a new vectorial functional inequality of Poincare 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.

  • 出版日期2017-4-15