The A_2 theorem: Remarks and complements

By Tuomas Hytönen. 2012

103 citations recorded by the source corpus.

Abstract. I give a mini-survey of several approaches to the A2 theorem, biased towards the “corona” rather than the “Bellman” side of the coin. There are two new results (a streamlined form of Lerner’s local oscillation formula, and the sharpness of the linear-in-complexity weak (1, 1) bound for dyadic shifts) and two new proofs of known results (the Ap–A∞ testing conditions, and the two-weight T1 theorem for positive dyadic operators).

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e13c020c61a64fb3a5102dbd607d4b58889f310c

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Two weight norm inequalities for fractional integral operators and commutators (2014, methodology): “Here we give a new proof based on ideas of Hytönen [42] and Lacey, et al.”
A Fractional Muckenhoupt–Wheeden Theorem and its Consequences (2013, background): “9 is the fractional version of the separated bump conjecture for Calderón-Zygmund operators made in [11]: (3.”
On pointwise and weighted estimates for commutators of Calder\'on-Zygmund operators (2016, background): “Hytönen [15] (see also [16,23] for the history of this result and a different proof).”