Sharp maximal function estimates for multilinear singular integrals

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Compactness properties of commutators of bilinear fractional integrals (2013, methodology): “[13] L. Grafakos and R.H. Torres,Multilinear Calderón-Zygmund theory, Adv.”
Extrapolation of Weighted norm inequalities for multivariable operators and applications (2004, unknown): “7) was later given in [16].”
The Multilinear Strong Maximal Function (2010, result): “[29] C. Pérez, G. Pradolini, R. H. Torres and R. Trujillo-González, End-point estimates for iterated commutators of multilinear singular integrals, arXiv:1004.4976.”
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].”
Compact Bilinear Operators and Commutators (2013, unknown): “By the results in [12], [17], [9], and [11], these operators map L × L → L with 1/p+ 1/q = 1/r for all 1 < p, q < ∞, with estimates of the form (1) ‖[T, b]1(f, g)‖Lr , ‖[T, b]2(f, g)‖Lr ‖b‖BMO‖f‖Lp‖g‖Lq ,”
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (2009, methodology): “Moreover, the question of the existence of an end-point result along the lines of the work [42] was also stated in [45], and we find an answer involving an appropriate weak-L(logL) estimate when p = 1/m.”