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

Ombrosi, Sheldy; Perez, Carlos

research

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

Authors: Sheldy Ombrosi
Carlos Perez
Publication date: 1 January 2016
Publisher: 'Institute of Mathematics, Polish Academy of Sciences'
Doi

Abstract

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.Comment: Colloquium Mathematicum, to appea