Abstract
We prove a noncommutative version of the John-Nirenberg theorem for nontracial filtrations of von Neumann algebras. As an application, we obtain an analogue of the classical large deviation inequality for elements of the associated BMO space.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-142 |
| Number of pages | 28 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 359 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2007 |
Keywords
- Interpolation
- Noncommutative L-spaces and BMO
- Noncommutative martingales
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics