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Convex Sobolev Inequalities Derived from Entropy Dissipation

✍ Scribed by Daniel Matthes; Ansgar Jüngel; Giuseppe Toscani


Book ID
105872342
Publisher
Springer
Year
2010
Tongue
English
Weight
479 KB
Volume
199
Category
Article
ISSN
0003-9527

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From super Poincaré to weighted log-Sobo
✍ Feng-Yu Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As an application, Talagrand inequalities with super quadratic cost functions are obtained. In particular, on a complete connected Riemannian manifold, we prove that the log δ -Sobolev inequality with δ ∈ (1, 2)