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A Generalization of Poincaré and Log-Sobolev Inequalities

✍ Scribed by Feng-Yu Wang

Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
268 KB
Volume
22
Category
Article
ISSN
0926-2601

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From super Poincaré to weighted log-Sobo
From super Poincaré to weighted log-Sobolev and entropy-cost inequalities
✍ 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)