A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds
2011
Studia Mathematica
Preserved Fulltext
Let G be a real connected Lie group with polynomial volume growth, endowed with its Haar measure dx. Given a C 2 positive function M on G, we give a sufficient condition for an L 2 Poincaré inequality with respect to the measure M (x)dx to hold on G. We then establish a non-local Poincaré inequality on G with respect to M (x)dx.
doi:10.4064/sm203-2-1
fatcat:oweh4bpo3veuloauid32dpial4