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

Martijn Caspers

doi:10.4064/sm170904-14-1

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

Martijn Caspers^*

^*Corresponding author for this work

Analysis

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7 Citations (Scopus)

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Abstract

We consider semigroup 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 L_∞ → BMO multipliers. We also provide L_p-bounds for a natural generalization of the Hilbert transform.

Original language	English
Pages (from-to)	71-107
Number of pages	37
Journal	Studia Mathematica
Volume	246
Issue number	1
DOIs	https://doi.org/10.4064/sm170904-14-1
Publication status	Published - 2019

Keywords

BMO-spaces
Complex interpolation
Fourier multipliers
Free Gaussians
Markov semigroups
Noncommutative L-spaces

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10.4064/sm170904-14-1

1708.09578Accepted author manuscript, 312 KB

Cite this

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KW - Complex interpolation

KW - Fourier multipliers

KW - Free Gaussians

KW - Markov semigroups

KW - Noncommutative L-spaces

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

Abstract

Keywords

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