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

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...

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Bibliographic Details
Main Authors:	Junge, Marius (Author, http://id.loc.gov/vocabulary/relators/aut), Perrin, Mathilde (http://id.loc.gov/vocabulary/relators/aut)
Corporate Authors:	Centre national de la recherche scientifique (France), Société mathématique de France (http://id.loc.gov/vocabulary/relators/isb)
Format:	Book
Language:	English
Published:	Paris : Société mathématique de France, 2014 Paris : Société mathématique de France, publié avec le concours du Centre National de la Recherche Scientifique, 2014 Paris : Société mathématique de France, 2014
Series:	Astérisque ; 362 Astérisque ; 362 Astérisque 362 Astérisque 362
Subjects:	Hardy spaces Martingales (Mathematics) Noncommutative algebras Von Neumann algebras

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Stanford University

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Call Number:	ISIL:US-CST QA1 .A78 V.362

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