On discrete inequalities of the Poincaré type
✍ Scribed by B. G. Pachpatte
- Publisher
- Springer Netherlands
- Year
- 1988
- Tongue
- English
- Weight
- 313 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0031-5303
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📜 SIMILAR VOLUMES
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 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