A Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities

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dc.creatorCarlen, Eric
dc.creatorLieb, Elliott
dc.creatorLoss, Michael
dc.date2004-08-02
dc.date.accessioned2026-07-07T05:10:57Z
dc.date.available2026-07-07T05:10:57Z
dc.descriptionWe prove a sharp analog of Young's inequality on $S^N$, and deduce from it certain sharp entropy inequalities. The proof turns on constructing a nonlinear heat flow that drives trial functions to optimizers in a monotonic manner. This strategy also works for the generalization of Young's inequality on $R^N$ to more than three functions, and leads to significant new information about the optimizers and the constants.
dc.identifierhttps://arxiv.org/abs/math/0408030
dc.identifierhttp://arxiv.org/abs/math/0408030
dc.identifierJour. Geometry and Analysis vol 14, no. 3, 487-520 (2004).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72089
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subject43A15; 52A40; 82C40
dc.titleA Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities
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