Harmonic analysis and BMO-spaces of free Araki-Woods factors

2017/08/31 by Caspers, Martijn
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1708.09578

Abstract

We consider semi-group BMO-spaces associated with arbitrary von Neumann algebras and prove interpolation theorems. This extends results by Junge-Mei for the tracial case. We give examples of multipliers on free Araki-Woods algebras and in particular we find L_∞ → \rm BMO multipliers. We also provide L_p-bounds for a natural generalization of the Hilbert transform.

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