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A noncommutative version of the John-Nirenberg theorem
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math.FAmath.OA
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john-nirenbergnoncommutativetheoremversionalgebrasanalogueapplicationassociated
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abstract
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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