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A noncommutative version of the John-Nirenberg theorem

Marius Junge·Magdalena Musat
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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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Marius Junge, Magdalena Musat. 2006-11-07. A noncommutative version of the John-Nirenberg theorem. https://arxiv.org/abs/math/0410121

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