Sharp Two-weight, weak-type norm inequalities for singular integral operators

Abstract

We give a sufficient condition for singular integral operators and, more generally, Calderon-Zygmund operators to satisfy the weak (p, p) inequality u({x ∈ R : |Tf(x)| > t}) ≤ C tp ∫ R n |f |pv dx, 1 0. This conditions is stronger than the Ap condition and is sharp since it fails when δ = 0.