Browsing by Author "Pérez Moreno, Carlos"
Now showing items 1-20 of 62
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Article
A new characterization of the Muckenhoupt Ap weights through an extension of the Lorentz-Shimogaki theorem
(Indiana University, 2007)Given any quasi-Banach function space X over Rn it is defined an index αX that coincides with the upper Boyd index αX when ...
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Article
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
(American Mathematical Society, 2015-02)A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a ...
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Chapter of Book
A note on the off-diagonal Muckenhoupt-Wheeden conjecture
(World Scientific, 2016)We obtain the off-diagonal Muckenhoupt-Wheeden conjec-ture for Calder´on-Zygmund operators. Namely, given 1 < p < q < ∞ and ...
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Article
A pointwise estimate for the kernel of a pseudo-differential operator, with applications
(Unión Matemática Argentina, 1991) -
Article
A remark on weighted inequalities for general maximal operators
(American Mathematical Society, 1993-12)Let 1 < p < ∞, and let w, v be two non–negative functions. We give a sufficient condition on w, v for which the general ...
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Article
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces
(Springer, 2003-09)We define a class of summation operators with applications to the self-improving nature of Poincaré-Sobolev estimates, in ...
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Article
A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
(International Press, 2009)We obtain an Lp(w) bound for Calderón-Zygmund operators T when w ∈ A1. This bound is sharp both with respect to ∥w∥A1 and with respect to p. As a result, we get a new L1,∞(w) estimate for T related to a problem of Muckenhoupt and Wheeden.
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Article
Ap weights for nondoubling measures in Rn and applications
(American Mathematical Society, 2002)We study an analogue of the classical theory of Ap(µ) weights in Rn without assuming that the underlying measure µ is ...
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Article
Borderline weighted estimates for commutators of singular integrals
(Springer, 2016)In this paper we establish the following estimate w({x∈Rn:|[b,T]f(x)|>λ})≤cTε2∫RnΦ(∥b∥BMO|f(x)|λ)ML(logL)1+εw(x)dx where ...
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PhD Thesis
Conmutadores de integrales singulares y pesos A1
(2011)Esta memoria está estructurada de la siguiente manera: comenzaremos introduciendo en el capítulo 1 las herramientas y ...
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Article
End-point estimates for iterated commutators of multilinear singular integrals
(London Mathematical Society, 2014-02)Iterated commutators of multilinear Calder´on-Zygmund operators and pointwise multiplication with functions in BMO are ...
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Article
Endpoint estimates for commutators of singular integral operators
(Elsevier, 1995-02-15)We prove endpoint estimates for commutatotrs of singular integrals with BMO functions. We first show that they satisfy ...
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Article
Estimates with A∞ weights for various singular integral operators
(Zanichelli, 1994)Si studia la limitazione di certe classi di integrale singolari sullo spazio Lp(w), w € A∞.
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Article
Exponential decay estimates for singular integral operators
(Springer, 2013-12)The following subexponential estimate for commutators is proved |{x ∈ Q : |[b, T]f(x)| > tM2 f(x)}| ≤ c e− √ α tkbkBMO ...
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Article
Extensions of Rubio de Francia's extrapolation theorem
(Universitat de Barcelona, 2006)One of the main results in modern harmonic analysis is the extrapolation theorem of J.L. Rubio de Francia for Ap weights. ...
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Article
Extrapolation from A∞ weights and applications
(Elsevier, 2004-08-15)We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the context of Muckenhoupt bases. Our ...
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Article
Generalized Hörmander conditions and weighted endpoint estimates
(Polish Academy of Sciences, Institute of Mathematics, 2009)We consider two-weight estimates for singular integral operators and their commutators with bounded mean oscillation ...
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Chapter of Book
Improving bounds for singular operators via sharp reverse Hölder inequality for A∞
(Springer, 2013)In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder ...
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Article
L1 → Lq Poincaré inequalities for 0 < q < 1 imply representation formulas
(Springer, 2002-01)Given two doubling measures μ and ν in a metric space (S, ρ) of homogeneous type, let B0⊂S be a given ball. It has been a ...
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Article
Lack of natural weighted estimates for some singular integral operators
(American Mathematical Society, 2005)