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Artículo
Quantitative weighted mixed weak-type inequalities for classical operators
(Indiana University, 2016)
We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These types of inequalities were considered by Muckenhoupt and Wheeden and later on by ...
Artículo
Optimal exponents in weighted estimates without examples
(International Press, 2015)
t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator T satisfies a bound like kT kLp(w) ≤ c [w] β Ap w ∈ Ap, then the optimal lower bound ...
Capítulo de Libro
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 a pair of weights (u, v), if the Hardy-Littlewood maximal functionsatisfies the following two weight ...
Artículo
Sharp weighted bounds involving A∞
(Mathematical Sciences Publishers, 2013)
We improve on several weighted inequalities of recent interest by replacing a part of the Ap bounds by weaker A∞ estimates involving Wilson’s A∞ constant [w] 0 A∞ := sup Q 1 / w(Q) Z Q M(wχQ). In particular, we show the ...