Mixed-norm Inequalities and Operator Space Lp Embedding Theory

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Large Violation of Bell Inequalities with Low Entanglement (2010, background): “ aF la and sup l kF lkkFk 1: Since the underlying measure space is a probability space, we obtain the assertion in the case q= 1. For 1 q1, this follows from a complex interpolation argument as in [37]. Just note that in operator space jargon, the Lemma is an immediate consequence of the fact that i”
Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers (2014, unknown): “are determined by ‖f‖Lrp(EM⋊G) = ∥EM⋊G(ff∗) 1 2 ∥∥ p and ‖f‖Lcp(EM⋊G) = ‖EM⋊G(f ∗f) 1 2 ‖p, [35] for more precise definitions of these spaces.”
Smooth Fourier multipliers on group von Neumann algebras (2010, background): “[30] for the slight modifications needed for 1 ≤ p < 2.”