Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators

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On the Hörmander Classes of Bilinear Pseudodifferential Operators (2009, unknown): “See also Bényi-Torres [3] and Maldonado-Naibo [23].”
Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity (2009, unknown): “Further applications now include the study of compensated compactness, see [11], [12], and [50], and, as bilinear ΨDOs also model expressions of the type ∑ α,β cα,β∂ α x f∂ β xg, they are useful in generalizing Leibnitz’s rule in the spirit of the Kato-Ponce inequality, see [4] and [37].”
On Multilinear Fourier Multipliers of Limited Smoothness (2013, background): “|) for |α1|+ · · ·+ |αN | ≤ L with L sufficiently large, then Tm is bounded from Lp1 (Rn)× · · · × LpN (Rn) to Lp(Rn) for all 1 < p1, . . . , pN ≤ ∞ and 1 < p < ∞ satisfying 1/p1+· · ·+1/pN = 1/p. Kenig and Stein [16] and Grafakos and Torres [12] extended the result to the range p ≤ 1.”