Originally Published In
Mathematische Annalen, February 2017, Volume 367, Issue 1, pp 51–80. DOI: 10.1007/s00208-016-1378-1
Let R be the vector of Riesz transforms on Rn and let μ,λ∈Ap be two weights on Rn, 1p(μ)→Lp(λ)|| is shown to be equivalent to the function b being in a BMO space adapted to μ and λ. This is a common extension of a result of Coifman–Rochberg–Weiss in the case of both λ and μ being Lebesgue measure, and Bloom in the case of dimension one.
Holmes, Irina; Lacey, Michael T.; and Wick, Brett D., "Commutators in the two-weight setting" (2016). Mathematics Faculty Publications. 41.