3 papers
math.AP2022
Sharp Stability of Log-Sobolev and Moser-Onofri inequalities on the Sphere
Lu Chen, Guozhen Lu, Hanli Tang
In this paper, we are concerned with the stability problem for endpoint conformally invariant cases of the Sobolev inequality on the sphere . Namely, we will establis…
math.CA2021
Optimal weak estimates for Riesz potentials
Liang Huang, Hanli Tang
In this note we prove a sharp reverse weak estimate for Riesz potentials $$\|I_{s}(f)\|_{L^{\frac{n}{n-s},\infty}}\geq γ_sv_{n}^{\frac{n-s}{n}}\|f\|_{L^1}~~\text{for}~~0<f\in {L^1(…
math.AP2020
Classification of solutions of an equation related to a conformal log Sobolev inequality
Rupert L. Frank, Tobias König, Hanli Tang
We classify all finite energy solutions of an equation which arises as the Euler--Lagrange equation of a conformally invariant logarithmic Sobolev inequality on the sphere due to B…