Sharp weighted bounds for the q -variation of singular integrals

Author: Hytnen Tuomas P.   Lacey Michael T.   Prez Carlos  

Publisher: Oxford University Press

ISSN: 0024-6093

Source: Bulletin of the London Mathematical Society, Vol.45, Iss.3, 2013-06, pp. : 529-540

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Abstract

We extend the sharp weighted bound of the A2 theorem to the q-variation norm of certain CaldernZygmund operators (q>2), a stronger nonlinearity than the maximal truncations that have been treated before. We obtain this result by a new non-probabilistic approach that was independently discovered by Lerner.