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math.AP2025
An almost-almost-Schur lemma on the 3-sphere
Tobias König, Jonas W. Peteranderl
In the conformal class of the standard metric on the -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…