31 citations · 72 across the 4 of their papers we have counts for
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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…
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…
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.…