Jonas W. Peteranderl

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20242026

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math.AP2026

An almost-almost-Schur lemma on the 3-sphere

Tobias KÃ¶nig, Jonas W. Peteranderl

In the conformal class of the standard metric on the $3$ -sphere, we prove a quantitative refinement of the Andrews-De Lellis-Topping inequality in terms of a two-term distance to t…

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 $I ¨ _{2}$ -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 $I ¨ _{2}$ -curvature, normalized by the volume, is…

An almost-almost-Schur lemma on the 3-sphere

Sharp quantitative integral inequalities for harmonic extensions

The sharp I¨2​-curvature inequality on the sphere in quantitative form

The sharp $I ¨ _{2}$ -curvature inequality on the sphere in quantitative form