A noncommutative version of the John-Nirenberg theorem

arxiv: math/0410121 · v2 · submitted 2004-10-05 · 🧮 math.FA · math.OA

A noncommutative version of the John-Nirenberg theorem

Marius Junge , Magdalena Musat This is my paper

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keywords john-nirenbergnoncommutativetheoremversionalgebrasanalogueapplicationassociated

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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.

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A noncommutative version of the John-Nirenberg theorem

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