p-Poincaré inequality versus ∞-Poincaré inequality: some counterexamples
✍ Scribed by Estibalitz Durand-Cartagena, Nageswari Shanmugalingam, Alex Williams
- Book ID
- 111873270
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- French
- Weight
- 348 KB
- Volume
- 271
- Category
- Article
- ISSN
- 0025-5874
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,
We present an abstract result concerning Poincaré inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator.