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Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates 

Li, K.; Ombrosi, S.; Pérez, C.Autoridad BCAM (2018-09)
We show that if $v\in A_\infty$ and $u\in A_1$, then there is a constant $c$ depending on the $A_1$ constant of $u$ and the $A_{\infty}$ constant of $v$ such that $$\Big\|\frac{ T(fv)} {v}\Big\|_{L^{1,\infty}(uv)}\le c\, ...
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Quantitative weighted mixed weak-type inequalities for classical operators 

Ombrosi, S.; Pérez, C.Autoridad BCAM; Recchi, J. (2016-06-30)
We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These type of inequalities were considered by Muckenhoupt and Wheeden and later on by ...
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Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer 

Ombrosi, S.; Pérez, C.Autoridad BCAM (2016-01-01)
In this paper we study mixed weighted weak-type inequal- ities for families of functions, which can be applied to study classic operators in harmonic analysis. Our main theorem extends the key result from [CMP2].

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Ombrosi, S. (3)
Pérez, C. (3)
Li, K. (1)Recchi, J. (1)Subject$A_1$ and $A_{\infty}$ weights (1)Calderón-Zygmund operators (1)maximal functions (1)Maximal operators (1)mixed weak-type inequalities (1)Sawyer's conjecture (1)singular integral operators (1)weak type inequalities (1)Weighted estimates (1)Weights (1)... másFecha2018 (1)2016 (2)

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