Browsing by Author "RiveraRíos, I."
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$A_1$ theory of weights for rough homogeneous singular integrals and commutators
Pérez, C.; RiveraRíos, I.P.; Roncal, L. (2019)Quantitative $A_1A_\infty$ 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 ... 
$A_1$ theory of weights for rough homogeneous singular integrals and commutators
Pérez, C.; RiveraRíos, I.P.; Roncal, L. (20160701)Quantitative $A_1A_\infty$ 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 ... 
Borderline Weighted Estimates for Commutators of Singular Integrals
Pérez, C.; RiveraRíos, I.P. (20160701)In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left[b,T]f(x)\right > \lambda\right\} \right)\leq \frac{c_{T}}{\varepsilon^{2}}\int_{\mathbb{R}^{n}}\Phi\left(\b\_{BMO}\f ... 
Improved A1 − A∞ and related estimates for commutators of rough singular integrals
RiveraRíos, I.P. (2017)An $A_1A_\infty$ estimate improving a previous result in [22] for $[b, T_\Omega]$ with $\Omega\in L^\infty(S^{n1})$ and $b\in BMO$ is obtained. Also a new result in terms of the $A_\infty$ constant and the one ... 
A note on generalized FujiiWilson conditions and BMO spaces
Ombrosi, S.; Pérez, C.; Rela, E.; RiveraRíos, I. (20200701)In this note we generalize the definition of the FujiiWilson 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. ... 
On Bloom type estimates for iterated commutators of fractional integrals
Accomazzo, N.; MartinezPerales, J.C.; RiveraRíos, I.P. (201804)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 ... 
On pointwise and weighted estimates for commutators of CalderónZygmund operators
Lerner, A. K; Ombrosi, S.; RiveraRíos, I.P. (2017)In recent years, it has been well understood that a CalderónZygmund 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 ... 
A quantitative approach to weighted Carleson condition
RiveraRíos, I.P. (20170505)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 ... 
Quantitative weighted estimates for singular integrals and commutators
RiveraRíos, I.P. (20180227)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, CoifmanFe ... 
Sparse and weighted estimates for generalized Hörmander operators and commutators
IbañezFirnkorn, G.H.; RiveraRíos, 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 ... 
Three Observations on Commutators of Singular Integral Operators with BMO Functions
Pérez, C.; RiveraRíos, I.P. (20160701)Three observations on commutators of Singular Integral Operators with BMO functions are exposed, namely 1  The already known subgaussian local decay for the commutator, namely $\[\frac{1}{Q}\left\left\{x\in Q\, : ... 
Vectorvalued operators, optimal weighted estimates and the $C_p$ condition
Cejas, M.E.; Li, K.; Pérez, C.; RiveraRíos, I.P. (201809)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 ... 
Weighted norm inequalities for rough singular integral operators
Li, K.; Pérez, C.; RiveraRíos, I.P.; Roncal, L. (20180817)In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n1})$ and the BochnerRiesz multiplier at the critical index ...