Extrapolation of weights revisited: New proofs and sharp bounds

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Sharp Weighted Bounds for Multilinear Maximal Functions and Calderón–Zygmund Operators (2012, methodology): “6) can be obtained from the case p = 2 by the sharp version of the extrapolation theorem of Rubio de Francia obtained in [5] (see also [6] or [4] for different and simpler proofs).”
On Sharp Aperture-Weighted Estimates for Square Functions (2013, background): “Hence, by the sharp version of the Rubio de Francia extrapolation theorem (see [6] or [7]), (4.”
Extrapolation for multilinear Muckenhoupt classes and applications (2018, methodology): “These results are very natural extensions of the Rubio de Francia extrapolation theorem, but they treat each variable separately with its own Muckenhoupt class of weights (this fact also appears in the proofs, see [17] or [11]) and do not quite use the multivariable nature of the problem.”