A noncommutative version of the John-Nirenberg theorem

Details A noncommutative version of the John-Nirenberg theorem A noncommutative version of the John-Nirenberg theorem

2004-10-05

arxiv.org/abs/math/0410121v2

Trans. Amer. Math. Soc., Vol. 359, no.1 (2007), 115-142.

Mathematics

Functional Analysis

32 pages

Scientific paper

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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