110 citations · 219 across the 12 of their papers we have counts for
15 papers
Self-improving Poincaré-Sobolev type functionals in product spaces
Maria Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
In this paper we give a geometric condition which ensures that -Poincaré-Sobolev inequalities are implied from generalized -Poincaré inequalities related to nor…
The divisors of Prym semicanonical pencils
Carlos Maestro Pérez, Andrés Rojas
In the moduli space of double étale covers of curves of a fixed genus , the locus of covers of curves with a semicanonical pencil decomposes as the union of two…
Prym curves with a vanishing theta-null
Carlos Maestro Pérez
If the theta-null divisor is moved to the Prym moduli space through the diagram , it splits i…
Sawyer-type inequalities for Lorentz spaces
Carlos Pérez, Eduard Roure Perdices
The Hardy-Littlewood maximal operator satisfies the classical Sawyer-type estimate $$ \left \Vert \frac{Mf}{v}\right \Vert_{L^{1,\infty}(uv)} \leq C_{u,v} \Vert f \Vert_{L^{1}(u)},…
Extensions of the John-Nirenberg theorem and applications
Javier Canto, Carlos Pérez
The John-Nirenberg theorem states that functions of bounded mean oscillation are exponentially integrable. In this article we give two extensions of this theorem. The first one rel…
Regularity of maximal functions on Hardy-Sobolev spaces
Carlos Pérez, Tiago Picon, Olli Saari +1
We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy-Sobolev spaces when $1/p < 1+1/d…
Three observations on commutators of Singular Integral Operators with BMO functions
Carlos Pérez, Israel P. Rivera-Ríos
This paper contains three observations on commutators of Singular Integral Operators with BMO functions: 1) The subgaussian local decay for the commutator, namely \[\frac{1}{|Q|}\l…
Optimal exponents in weighted estimates without examples
Teresa Luque, Carlos Pérez, Ezequiel Rela
We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator satisfies a bound like $$ \|T\|_{L^{p}(w)}\le c\, […
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
Carlos Pérez, Ezequiel Rela
A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR…
Sharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type
Tuomas Hytönen, Carlos Pérez, Ezequiel Rela
In this article we present a new proof of a sharp Reverse Hölder Inequality for weights that is valid in the context of spaces of homogeneous type. Then we derive two ap…
Improving bounds for singular operators via Sharp Reverse Hölder Inequality for
Carmen Ortiz-Caraballo, Carlos Pérez, Ezequiel Rela
In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder Inequality for weights. For two given operato…
A note on the off-diagonal Muckenhoupt-Wheeden conjecture
David Cruz-Uribe, José María Martell, Carlos Pérez
We obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given and a pair of weights , if the Hardy-Littlewood maxima…
Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals
Tuomas P. Hytönen, Michael T. Lacey, Carlos Pérez
Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler t…
Sharp weighted bounds involving A_\infty
Tuomas Hytönen, Carlos Pérez
We improve on several weighted inequalities of recent interest by replacing a part of the A_p bounds by weaker A_\infty estimates involving Wilson's A_\infty constant \[ [w]_{A_\in…
Sharp weighted estimates for dyadic shifts and the conjecture
Tuomas Hytönen, Carlos Pérez, Sergei Treil +1
We give a self-contained proof of the conjecture, which claims that the norm of any Calderon-Zygmund operator is bounded by the first degree of the norm of the weight.…