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Super Poincaré Inequalities, Orlicz Norms and Essential Spectrum

✍ Scribed by Pierre-André Zitt


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
370 KB
Volume
35
Category
Article
ISSN
0926-2601

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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)