On the two-weight problem for singular integral operators

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A pointwise estimate for the local sharp maximal function with applications to singular integrals (2010, background): “It was shown in [7] that if B is as in (1.”
Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates (2017, background): “R] for any p0 > 0. 4) Square functions of the form g∗ λ(f) (see [St] for the deﬁnition). In fact, (1.8) follows from M# δ (g ∗ λ(f))(x) ≤ Cδ,λ Mf(x) λ > 2,0 < δ < 1, which can be found in [CP], together with the C. Feﬀerman-Stein estimate [FS2] (see also [Duo]): (1.11) Z Rn |f(x)|p w(x)d”
Two weight norm inequalities for fractional integral operators and commutators (2014, result): “This problem was solved recently by Lerner [58]; for prior results see [19, 20, 30].”
Sharp weighted estimates for classical operators (2010, background): “Progress on this conjecture was made in [11, 5, 34].”