1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2020
Sobolev's inequality under a curvature-dimension condition
Louis Dupaigne, Ivan Gentil, Simon Zugmeyer
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci curvature. This result was initially obtained in 1983 by Ilias. Our goal is to…
math.FA2019★ 1 cited
A family of Beckner inequalities under various curvature-dimension conditions
Ivan Gentil, Simon Zugmeyer
In this paper, we offer a proof for a family of functional inequalities interpolating between the Poincar{é} and the logarithmic Sobolev (standard and weighted) inequalities. The p…
math.AP2017★ 1 cited
Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains
Simon Zugmeyer
We find a new sharp trace Gagliardo-Nirenberg-Sobolev inequality on convex cones, aswell as a weighted sharp trace Sobolev inequality on epigraphs of convex functions. This is done…