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

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Publication Year
2024
Language
English
Research Group
Analysis
Issue number
2
Volume number
67
Pages (from-to)
197-223
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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.