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Artículo
Reverse Hölder property for strong weights and general measures
(Springer, 2016-02-22)
We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version ...
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 ...
Tesis Doctoral
Weighted inequalities and multiparameter harmonic analysis
(2014-04-30)
El tema central de esta tesis es el estudio de desigualdades con pesos para algunos de los operadores clásicos del análisis armónico. De entre estos operadores, los que más nos interesan, son aquellos que son invariantes ...