**Astérisque**

Volume: 362;
2014;
134 pp;
Softcover

MSC: Primary 46;
Secondary 60

**Print ISBN: 978-2-85629-789-6
Product Code: AST/362**

List Price: $36.00

Individual Member Price: $28.80

# Theory of $\mathcal{H}_{p}$-Spaces for Continuous Filtrations in von Neumann Algebras

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*Marius Junge; Mathilde Perrin*

A publication of the Société Mathématique de France

The authors introduce Hardy spaces for martingales with respect to continuous filtration for von Neumann algebras. In particular they prove the analogues of the Burkholder-Gundy and Burkholder-Rosenthal inequalities in this setting. The usual arguments using stopping times in the commutative case are replaced by tools from noncommutative function theory and allow the authors to obtain the analogue of the Feffermann-Stein duality and prove a noncommutative Davis decomposition.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in noncommutative spaces, Hardy spaces, and continuous filtration.