Abstract:Let πΊ be a locally compact unimodular group, and let π be some function of π variables on πΊ. To such a π, one can associate a multilinear Fourier multiplier, which acts on some π-fold product of the non-commutative πΏ π -spaces of the group von Neumann algebra. One may also define an associated Schur multiplier, which acts on an π-fold product of Schatten classes π π (πΏ 2 (πΊ) ). We generalize well-known transference results from the linear case to the multilinear case. In particular, we show that t… Show more
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