Self Improving Sobolev-Poincaré Inequalities, Truncation and Symmetrization
✍ Scribed by Joaquim Martin; Mario Milman
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 404 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0926-2601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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)
## dedicated to professor bruno pini on his 80th birthday We give a condition which ensures that if one inequality of Sobolev Poincare type is valid then other stronger inequalities of a similar type also hold, including weighted versions. Our main result includes many previously known results as