Transference of multilinear Fourier and Schur multipliers acting on noncommutative Lp-spaces for non-unimodular groups

Journal Article (2024)
Author(s)

Gerrit Vos (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group
Analysis
DOI related publication
https://doi.org/10.1017/S0017089524000326 Final published version
More Info
expand_more
Publication Year
2024
Language
English
Research Group
Analysis
Journal title
Glasgow Mathematical Journal
Issue number
2
Volume number
67
Pages (from-to)
197-223
Downloads counter
127
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

In Caspers et al. (Can. J. Math. 75[6] [2022], 1-18), transference results between multilinear Fourier and Schur multipliers on noncommutative Lp-spaces were shown for unimodular groups. We propose a suitable extension of the definition of multilinear Fourier multipliers for non-unimodular groups and show that the aforementioned transference results also hold in this more general setting.