On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities

Andrei Lerner, Kangwei Li, Sheldy Ombrosi +1

In a recent work by Cruz-Uribe et al. was obtained that \[|\{x\in{\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>α\}|\lesssim\frac{[w]_{A_1}^2}α\int_{{\mathbb{R}^d}}|f|dx\] both in the matrix a…