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

Volume 145 / 2016

Sheldy Ombrosi, Carlos Pérez Colloquium Mathematicum 145 (2016), 259-272 MSC: 42B20, 42B25. DOI: 10.4064/cm4939-6-2016 Published online: 6 July 2016


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 of Cruz-Uribe et al. (2005).


  • Sheldy OmbrosiDepartment of Mathematics
    Universidad Nacional del Sur
    Bahía Blanca, Argentina
  • Carlos PérezDepartment of Mathematics
    University of the Basque Country
    Ikerbasque and BCAM
    Bilbao, Spain

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