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Capítulo de Libro
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 Inequality for A∞ weights. For two given operators T and S, we study Lp(w) bounds of CoifmanFefferman ...
Artículo
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 |Q|, t > 0. where c and α are absolute constants, T is a Calder´on–Zygmund operator, M is the Hardy ...
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 ...