Muckenhoupt-Wheeden conjectures for sparse operators

Cong Hoang, Kabe Moen

We provide an example of a pair of weights $(u,v)$ for which the Hardy-Littlewood maximal function is bounded from $L^p(v)$ to $L^p(u)$ and from $L^{p^{\prime }}(u^{1-p^{\prime }})$ to $L^{p'}(v^{1-…