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Vector-valued operators, optimal weighted estimates and the $C_p$ condition 

Cejas, M.E.; Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P. (2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
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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 norm inequalities for rough singular integral operators 

Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P.; Roncal, L.Autoridad BCAM (2018-08-17)
In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n-1})$ and the Bochner--Riesz multiplier at the critical index ...
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Bilinear representation theorem 

Li, K.; Martikainen, H.; Ou, Y.; Vuorinen, E. (2018-01-01)
We represent a general bilinear Calderón--Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ...

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Li, K. (4)
Pérez, C. (3)Rivera-Ríos, I. (2)Cejas, M.E. (1)Martikainen, H. (1)Ombrosi, S. (1)Ou, Y. (1)Roncal, L. (1)Vuorinen, E. (1)Subject$A_1$ and $A_{\infty}$ weights (1)$A_p$ weights (1)$C_p$ estimates (1)$T1$ theorems (1)bilinear analysis (1)Calder\'on--Zygmund operators (1)Calderón-Zygmund operators (1)commutators (1)Dyadic analysis (1)dyadic shifts (1)... másFecha
2018 (4)

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