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

In Caspers et al. (Can. J. Math. 75[6] [2022], 1-18), transference results between multilinear Fourier and Schur multipliers on noncommutative L-p-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.