2 papers
math.AP2025
A sharp Sobolev inequality on the Caffarelli-Kohn-Nirenberg hyperbolic space
Baptiste Devyver, Louis Dupaigne, Pierre-Damien Thizy
In the Euclidean space , the sharp classical Sobolev inequality is equivalent by conformal invariance to a Sobolev inequality on the hyperbolic space .…
math.AP2021
A conformal geometric point of view on the Caffarelli-Kohn-Nirenberg inequality
Louis Dupaigne, Ivan Gentil, Simon Zugmeyer
We are interested in the Caffarelli-Kohn-Nirenberg inequality (CKN in short), introduced by these authors in 1984. We explain why the CKN inequality can be viewed as a Sobolev ineq…