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A note on generalized Fujii-Wilson conditions and BMO spaces 

Ombrosi, S.; Pérez, C.Autoridad BCAM; Rela, E.; Rivera-Ríos, I. (2020-07-01)
In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A∞, A∞weak and Cp, in terms of BMO type spaces suited to them. ...
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$A_1$ theory of weights for rough homogeneous singular integrals and commutators 

Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P.; Roncal, L.Autoridad BCAM (2019)
Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
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Sparse and weighted estimates for generalized Hörmander operators and commutators 

Ibañez-Firnkorn, G.H.; Rivera-Ríos, I.P. (2019)
In this paper a pointwise sparse domination for generalized Ho ̈rmander and also for iterated commutators with those operators is provided generalizing the sparse domination result in [24]. Relying upon that sparse domination ...
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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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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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On Bloom type estimates for iterated commutators of fractional integrals 

Accomazzo, N.; Martinez-Perales, J.C.; Rivera-Ríos, I.P. (2018-04)
In this paper we provide quantitative Bloom type estimates for iterated commutators of fractional integrals improving and extending results from [15]. We give new proofs for those inequalities relying upon a new sparse ...
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Quantitative weighted estimates for singular integrals and commutators 

Rivera-Ríos, I.P. (2018-02-27)
In this dissertation several quantitative weighted estimates for singular integral op- erators, commutators and some vector valued extensions are obtained. In particular strong and weak type $(p, p)$ estimates, Coifman-Fe ...
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A quantitative approach to weighted Carleson condition 

Rivera-Ríos, I.P. (2017-05-05)
Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea for the operator \[ \mathcal{M}f(x,t)=\sup_{x\in Q,\,l(Q)\geq t}\frac{1}{|Q|}\int_{Q}|f(x)|dx \qquad x\in\mathbb{R}^{n}, \, t \geq0 \] are ...
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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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Improved A1 − A∞ and related estimates for commutators of rough singular integrals 

Rivera-Ríos, I.P. (2017)
An $A_1-A_\infty$ estimate improving a previous result in [22] for $[b, T_\Omega]$ with $\Omega\in L^\infty(S^{n-1})$ and $b\in BMO$ is obtained. Also a new result in terms of the $A_\infty$ constant and the one ...
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Rivera-Ríos, I. (13)
Pérez, C. (7)Roncal, L. (3)Li, K. (2)Ombrosi, S. (2)Accomazzo, N. (1)Cejas, M.E. (1)Ibañez-Firnkorn, G.H. (1)Lerner, A. K (1)Martinez-Perales, J.C. (1)... másSubject$A_p$ weights (2)Commutators (2)commutators (2)weights (2)$A_1$ theory of weights (1)$C_p$ estimates (1)bumps (1)Caldero ́n-Zygmund operators (1)Calderón-Zygmund operators (1)entropy (1)... másFecha2020 (1)2019 (2)2018 (4)2017 (3)2016 (3)

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