Abstract
We improve on several weighted inequalities of recent interest by replacing a part of the bounds by weaker estimates involving Wilson’s constant
In particular, we show the following improvement of the first author’s theorem for Calderón–Zygmund operators :
Corresponding type results are obtained from a new extrapolation theorem with appropriate mixed - bounds. This uses new two-weight estimates for the maximal function, which improve on Buckley’s classical bound.
We also derive mixed - type results of Lerner, Ombrosi and Pérez (2009) of the form
An estimate dual to the last one is also found, as well as new bounds for commutators of singular integrals.
Citation
Tuomas Hytönen. Carlos Pérez. "Sharp weighted bounds involving $A_{\infty}$." Anal. PDE 6 (4) 777 - 818, 2013. https://doi.org/10.2140/apde.2013.6.777
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