2 papers
math.MG2024
New approach to affine Moser-Trudinger inequalities via Besov polar projection bodies
Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2
We extend the affine inequalities on for Sobolev functions in with obtained recently by Haddad-Ludwig [16, 17] to the remaining range $p \…
math.FA2023
A unified approach to self-improving property via K-functionals
Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincaré-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-funct…