A noncommutative version of the John-Nirenberg theorem

Junge, Marius; Musat, Magdalena

doi:10.1090/S0002-9947-06-03999-7

A noncommutative version of the John-Nirenberg theorem
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by Marius Junge and Magdalena Musat PDF

Trans. Amer. Math. Soc. 359 (2007), 115-142 Request permission

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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