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End-point estimates, extrapolation for multilinear muckenhoupt classes, and applications 

Li, K.; Martell, J.M.; Martikainen, H.; Ombrosi, S.; Vuorinen, E. (2019)
In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so-called multilinear Muckenhoupt classes. ...
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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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Weighted mixed weak-type inequalities for multilinear operators 

Li, K.; Ombrosi, S.; Picardi, B. (2017)
In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main ...
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On pointwise and weighted estimates for commutators of Calderón-Zygmund operators 

Lerner, A. K; Ombrosi, S.; Rivera-Ríos, I.P. (2017)
In recent years, it has been well understood that a Calderón-Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar ...
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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. (6)
Li, K. (3)Pérez, C. (3)Lerner, A. K (1)Martell, J.M. (1)Martikainen, H. (1)Picardi, B. (1)Recchi, J. (1)Rivera-Ríos, I. (1)Vuorinen, E. (1)Subject$A_1$ and $A_{\infty}$ weights (1)bilinear Hilbert transform (1)Calderón-Zygmund operators (1)maximal functions (1)Maximal operators (1)mixed weak-type inequalities (1)mixed weighted inequalities (1)mixed-norm estimates (1)multilinear Caldero ́n-Zygmund operators (1)Multilinear Muckenhoupt weights (1)... másFecha2019 (1)2018 (1)2017 (2)2016 (2)

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