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

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https://doi.org/10.4064/cm4939-6-2016

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2016

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Instytut Matematyczny
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https://hdl.handle.net/20.500.14352/99510

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Ombrosi, Sheldy, y Carlos Pérez. «Mixed Weak Type Estimates: Examples and Counterexamples Related to a Problem of E. Sawyer». Colloquium Mathematicum, 2016, 1-14. https://doi.org/10.4064/cm4939-6-2016.

Abstract

In this paper we study mixed weighted weak-type inequalities for families of functions, which can be applied to study classic operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C. Pérez, Weighted weak-type inequalities and a conjecture of Sawyer, Int. Math. Res. Not., 30 2005, 1849-1871.

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