Discrete decompositions for bilinear operators and almost diagonal conditions

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Maximal operator and weighted norm inequalities for multilinear singular integrals (2002, background): “More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments.”
On multilinear singular integrals of Calderón-Zygmund type (2002, background): “The proof of this proposition is tedious but elementary; details can be found in [36].”
Weighted norm inequalities for multilinear Fourier multipliers (2012, unknown): “, fN , g ∈ S(R) (see, for example, [9]).”
Multilinear analysis on metric spaces (2014, methodology): “Weighted multilinear Calderón–Zygmund theory Weighted estimates for multilinear Calderón–Zygmund operators first appear in the article of Grafakos and Torres [53].”
Multilinear Calderón-Zygmund operators on Hardy spaces (2000, result): “We refer to [2] and [5] for results of this sort.”