A Gaussian correlation inequality for certain bodies in ℝn
✍ Scribed by Christer Borell
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 195 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let + be a Gaussian measure (say, on R n ) and let K, L R n be such that K is convex, L is a ``layer'' (i.e., L=[x: a (x, u) b] for some a, b # R and u # R n ), and the centers of mass (with respect to +) of K and L coincide. Then +(K & L) +(K) } +(L). This is motivated by the well-known ``positive
For a bounded domain with connected Lipschitz boundary, we prove the existence of some __c__ > 0, such that urn:x-wiley:1704214:media:mma1534:mma1534-math-0002 holds for all square‐integrable tensor fields , having square‐integrable generalized “rotation” tensor fields and vanishing tangential t
We first prove local versions of the Poincare inequality for solutions to the Á-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation śŽ . s in L , 0 -averaging domains and L -averaging domains