Improved Poincaré inequalities
✍ Scribed by Jean Dolbeault; Bruno Volzone
- Book ID
- 116761231
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 302 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We are concerned with the problem of finding sharp summability conditions on the wvights which render certain weighted inequalities of PoincarB-type true. The conditions we find ixiitsist of proper integral balances between the growths of the rearrangements of the weights. ## I . Introduction We
Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,