Extrapolation of Weighted norm inequalities for multivariable operators and applications

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Extrapolation for multilinear Muckenhoupt classes and applications (2018, background): “[9] extended some result from [20] and [8] by proving the following weighted Marcinkiewicz-Zygmund inequalities.”
Extrapolation for multilinear compact operators and applications (2020, background): “Bényi, J.M. Martell, K. Moen, E. Stachura, and R.H. Torres, Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach, Math.”
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (2009, methodology): “Such weights ν were used in [24] to obtain multilinear extrapolation results.”
SHARP WEIGHTED BOUNDS FOR FRACTIONAL INTEGRAL OPERATORS (2009, unknown): “Indeed ‖Iα‖Lp(wp)→Lq(wq) ≈ ‖Iα‖Lp(wp)→Lq,∞(wq) + ‖Iα‖Lq′(w−q′ )→Lp′,∞(w−p′ ) (5.9) ≈ [w] 1−α n Ap,q + [w−1] 1−α n Aq′,p′ ≈ [w] (1−α n )max{1, p ′ q } Ap,q since [w−1]Aq′,p′ = [w] p′/q Ap,q and since [w]Ap,q ≥ 1.”