Abstract
We study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities. On the real line, we then give a characterization of those probability measures which satisfy these inequalities
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-28 |
| Number of pages | 28 |
| Journal | Journal of Functional Analysis |
| Volume | 163 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 1 1999 |
Bibliographical note
Funding Information:* Research supported in part by Alexander von Humboldt Foundation.
Keywords
- Concentration of measure
- Exponential integrability
- Logarithmic Sobolev inequalities
- Transportation inequalities