Harmonic analysis and BMO-spaces of free Araki-Woods factors
Operator Algebras
2018-02-14 v4 Functional Analysis
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 multipliers. We also provide -bounds for a natural generalization of the Hilbert transform.
Keywords
Cite
@article{arxiv.1708.09578,
title = {Harmonic analysis and BMO-spaces of free Araki-Woods factors},
author = {Martijn Caspers},
journal= {arXiv preprint arXiv:1708.09578},
year = {2018}
}