Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer

Sheldy Ombrosi, Carlos Pérez
2016 Colloquium Mathematicum  
We study mixed weighted weak-type inequalities for families of functions, which can be applied to study classical operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C. Perez, Weighted weak-type inequalities and a conjecture of Sawyer, Int. Math. Res. Not., V. 30, 2005, 1849-1871.
doi:10.4064/cm4939-6-2016 fatcat:qkmmpdbmubehrj2zq4amb2lxiq