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Theory of Hp-spaces for Continuous Filtrations in Von Neumann Algebras

Marius JungeMathilde Perrin

出版	Société mathématique de France, 2014
主題	Mathematics / Algebra / GeneralMathematics / Complex Analysis
ISBN	28562978979782856297896
URL	http://books.google.com.hk/books?id=IdrcoQEACAAJ&hl=&source=gbs_api

註釋

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.