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Pré-Publication, Document De Travail Année : 2023

Intrinsic dimensional functional inequalities on model spaces

Résumé

We initiate a systematic study of intrinsic dimensional versions of classical functional inequalities which capture refined properties of the underlying objects. We focus on model spaces: Euclidean space, Hamming cube, and manifolds of constant curvature. In the latter settings, our intrinsic dimensional functional inequalities improve on a series of known results and lead to new Hamilton-type matrix inequalities. Our proofs rely on scaling, tensorization, and stochastic methods.
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hal-04272898 , version 1 (06-11-2023)

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Alexandros Eskenazis, Yair Shenfeld. Intrinsic dimensional functional inequalities on model spaces. 2023. ⟨hal-04272898⟩
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