This book provides a systematic development of the Rubio de Francia theory of
extrapolation, its many generalizations and its applications to one and two-weight norm …

The weights w for which the usual operators T of classical analysis (like the Hardy–
Littlewood maximal operator, the Hilbert transform, and general classes of Calderón …

We use an appropriate factorization of the Ap weights to give another proof of the
extrapolation theorem of Rubio de Francia. It provides sharp bounds in terms of the Ap …

We present a unified method to obtain unweighted and weighted estimates of linear and
multilinear commutators with BMO functions, that is amenable to a plethora of operators and …

Abstract In Kenig and Stein (Math Res Lett 6 (1): 1–15, 1999, https://doi. org/10.4310/MRL.
1999. v6. n1. a1), the following type of multilinear fractional integral ∫ _ R^ mn f_1 (l_1 (x_1 …

Let T be a linear operator that, for some p1 2. 1; 1/, is bounded on Lp1. Qw/for all Qw 2 Ap1.
Rd/and in addition compact on Lp1. w1/for some w1 2 Ap1. Rd/. Then T is bounded and …

We characterize two weight inequalities for general positive dyadic operators. We consider
both weak and strong type inequalities, and general (p, q) mapping properties. Special …

We will introduce the basics of dyadic harmonic analysis and how it can be used to obtain
weighted estimates for classical Calderón–Zygmund singular integral operators and their …

We give a short proof of the sharp weighted bound for sparse operators that holds for all p,
1< p<∞. By recent developments this implies the bounds hold for any Calderón–Zygmund …

We consider weighted norm inequalities for the Riesz potentials $ I_ {\alpha} $, also referred
to as fractional integral operators. First, we prove mixed $ A_ {p}\mbox {-} A_ {\infty} $ type …