Transference of multilinear Fourier and Schur multipliers acting on non-commutative $L_p$-spaces for non-unimodular groups

Abstract

In arXiv:2206.00549, 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.