Multilinear transference of Fourier and Schur multipliers acting on non-commutative $L_p$-spaces
Martijn Capsers,
Amudhan Krishnaswamy-Usha,
Gerrit Vos
Abstract:Let G be a locally compact unimodular group, and let φ be some function of n variables on G. To such a φ, one can associate a multilinear Fourier multiplier, which acts on some n-fold product of the non-commutative Lp-spaces of the group von Neumann algebra. One may also define an associated Schur multiplier, which acts on an n-fold product of Schatten classes Sp(L2(G)). We generalize well-known transference results from the linear case to the multilinear case. In particular, we show that the so-called 'multip… Show more
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