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New bounds for bilinear Calderón-Zygmund operators and applications 

Damián W.; Hormozi M.; Li K. (Revista Matemática Iberoamericana, 2016-11-25)
In this work we extend Lacey’s domination theorem to prove the pointwise control of bilinear Calderón–Zygmund operators with Dini–continuous kernel by sparse operators. The precise bounds are carefully tracked following ...
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On sums involving Fourier coefficients of Maass forms for SL(3,Z) 

Jääsaari J.; Vesalainen E.V. (2016-09-10)
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3,Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums ...
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Three Observations on Commutators of Singular Integral Operators with BMO Functions 

Pérez C.; Rivera-Ríos I.P. (AWM-Springer Series, Harmonic Analysis, Partial Differentail Equations, Complex Analysis, Banach Spaces, and Operator Theory, 2016-07-01)
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\, : ...
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A note on the off-diagonal Muckenhoupt-Wheeden conjecture 

Cruz-Uribe D.; Martell J.M.; Pérez C. (WSPC Proceedings, 2016-07-01)
We obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given $1 < p < q < \infty$ and a pair of weights $(u; v)$, if the Hardy-Littlewood maximal function satisfies the following ...
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$A_1$ theory of weights for rough homogeneous singular integrals and commutators 

Pérez C.; Rivera-Ríos I.P.; Roncal L. (2016-07-01)
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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Borderline Weighted Estimates for Commutators of Singular Integrals 

Pérez C.; Rivera-Ríos I.P. (Israel Journal of Mathematics, 2016-07-01)
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 ...
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Reverse Hölder Property for Strong Weights and General Measures 

Luque T.; Pérez C.; Rela E. (Journal of Geometric Analysis, 2016-06-30)
We present dimension-free reverse Hölder inequalities for strong $A^{\ast}_p$ weights, $1 \le p < \infty$. We also provide a proof for the full range of local integrability of $A^{\ast}_1$ weights. The common ingredient ...
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Quantitative weighted mixed weak-type inequalities for classical operators 

Ombrosi S.; Pérez C.; Recchi J. (Indiana University Mathematics Journal, 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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Inverse scattering for a random potential 

Caro P.; Helin T.; Lassas M. (2016-05)
In this paper we consider an inverse problem for the $n$-dimensional random Schrödinger equation $(\Delta-q+k^2)u = 0$. We study the scattering of plane waves in the presence of a potential $q$ which is assumed to be a ...
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Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer 

Ombrosi S.; Pérez C. (Colloquium Mathematicum, 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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AuthorPérez C. (7)Rivera-Ríos I.P. (3)Caro P. (2)Ombrosi S. (2)Cruz-Uribe D. (1)Damián W. (1)Helin T. (1)Hormozi M. (1)Jääsaari J. (1)Lassas M. (1)... View MoreSubjectCalderón-Zygmund operators (2)$A_p$ weights (1)Commutators (1)commutators (1)Dini condition (1)domination theorem (1)Fourier multipliers (1)Haar shift operators (1)Hardy-Littlewood maximal function (1)Maximal functions (1)... View MoreDate Issued
2016 (11)

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