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Theory of Hp-spaces for continuous filtrations in Von Neumann algebras

Marius Junge · 2014

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About the book

We introduce Hardy spaces for martingales with respect to continuous filtration for von Neumann algebras. In particular we 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 us to obtain the analogue of the Feffermann-Stein duality and prove a noncommutative Davis decomposition.--Provided by publisher

Book details

Year
2014
Language
English
Series
Astérisque -- 362
Publisher
Société mathématique de France
Editions
1
Pages
134
ISBN
9782856297896

Data source: Wikidata

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