Harmonic analysis and BMO-spaces of free Araki-Woods factors
Journal Article
(2019)
Author(s)
Martijn Caspers (TU Delft - Analysis)
Research Group
Analysis
Copyright
© 2019 M.P.T. Caspers
DOI related publication
https://doi.org/10.4064/sm170904-14-1
To reference this document use:
https://resolver.tudelft.nl/uuid:aae89de5-0ceb-4824-af3f-6c157e717df8
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Publication Year
2019
Language
English
Copyright
© 2019 M.P.T. Caspers
Research Group
Analysis
Issue number
1
Volume number
246
Pages (from-to)
71-107
Reuse Rights
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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 Lp-bounds for a natural generalization of the Hilbert transform.