𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotonicity Properties of Optimal Transportation¶and the FKG and Related Inequalities

✍ Scribed by Luis A. Caffarelli

Publisher
Springer
Year
2000
Tongue
English
Weight
110 KB
Volume
214
Category
Article
ISSN
0010-3616

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Convexity inequalities and optimal trans
Convexity inequalities and optimal transport of infinite-dimensional measures
✍ Alexander V. Kolesnikov 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 259 KB

We generalize Talagrand's inequality in the theory of optimal transport and give some applications of our result. In particular, we establish an estimate for a couple of transportation mappings. In the finite-dimensional case we obtain a new log-Sobolev type inequality. In the infinite-dimensional c

The Monotonic Property of Ls(μ)-Averagin
The Monotonic Property of Ls(μ)-Averaging Domains and Weighted Weak Reverse Hölder Inequality
✍ Bing Liu; Shusen Ding 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 87 KB

We first prove a local weighted weak reverse Holder inequality for A-harmonic ¨sŽ . tensors. Then, we study the monotonic property of newly introduced L -averaging domains, which can be viewed as an application of the local weighted reverse s Ž . Holder inequality in L -averaging domains. By applyi