Rupert L. Frank

collaborators

2 papers

math.AP2025

Sharp quantitative integral inequalities for harmonic extensions

Rupert L. Frank, Jonas W. Peteranderl, Larry Read

We prove a quantitative version of a sharp integral inequality by Hang, Wang, and Yan for both the Poisson operator and its adjoint. Our result has the strongest possible norm and…

math.AP2024

The sharp $σ_{2}$ -curvature inequality on the sphere in quantitative form

Rupert L. Frank, Jonas W. Peteranderl

Among all metrics on $S^{d}$ with $d > 4$ that are conformal to the standard metric and have positive scalar curvature, the total $σ_{2}$ -curvature, normalized by the volume, is…

Sharp quantitative integral inequalities for harmonic extensions

The sharp σ2​-curvature inequality on the sphere in quantitative form

The sharp $σ_{2}$ -curvature inequality on the sphere in quantitative form