A sparse approach to mixed weak type inequalities

Weak endpoint bounds for matrix weights

“…The Calderón-Zygmund decomposition argument that was used to prove Theorem 1.2 unfortunately does not work to handle the sparse type operators in Theorem 2.3 and instead we need to employ "slicing" arguments that are similar to the ones in [1].…”

“…There has been a great deal of interest in generalizing these results to the two-weight setting; the original motivation (even in the one-weight setting) is that such inequalities arise naturally in the theory of interpolation with change of measure of Stein and Weiss [27]. See [1] for a short history.…”